{
 "cells": [
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Fama French Benchmark Example\n",
    "In this notebook, we use pyfolio to analyze the returns of a single stock using the canonical Fama-French factors as the benchmark.\n",
    "\n",
    "We plot the rolling betas to the Fama-French factors, and run the Bayesian tear sheet for an out-of-sample period of two months."
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "metadata": {
    "scrolled": true
   },
   "outputs": [
    {
     "data": {
      "text/plain": [
       "['',\n",
       " '/Users/george/anaconda/lib/python36.zip',\n",
       " '/Users/george/anaconda/lib/python3.6',\n",
       " '/Users/george/anaconda/lib/python3.6/lib-dynload',\n",
       " '/Users/george/anaconda/lib/python3.6/site-packages',\n",
       " '/Users/george/anaconda/lib/python3.6/site-packages/Sphinx-1.5.6-py3.6.egg',\n",
       " '/Users/george/anaconda/lib/python3.6/site-packages/aeosa',\n",
       " '/Users/george/anaconda/lib/python3.6/site-packages/setuptools-27.2.0-py3.6.egg',\n",
       " '/Users/george/anaconda/lib/python3.6/site-packages/IPython/extensions',\n",
       " '/Users/george/.ipython',\n",
       " '/Users/george/Desktop/pyfolio/']"
      ]
     },
     "execution_count": 1,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "import sys\n",
    "sys.path.append('/Users/george/Desktop/pyfolio/')\n",
    "sys.path"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [],
   "source": [
    "import pyfolio as pf\n",
    "import matplotlib.pyplot as plt\n",
    "%matplotlib inline\n",
    "\n",
    "# silence warnings\n",
    "import warnings\n",
    "warnings.filterwarnings('ignore')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [],
   "source": [
    "# Get the single stock returns\n",
    "stock_rets = pf.utils.get_symbol_rets('FB')"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/plain": [
       "<matplotlib.axes._subplots.AxesSubplot at 0x116d99eb8>"
      ]
     },
     "execution_count": 5,
     "metadata": {},
     "output_type": "execute_result"
    },
    {
     "data": {
      "image/png": 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0D1CemGLPn/0lWz7060yfmaJcspnM2eRi7/PISPMWgsvByvs54CLLsoYty0rip9Q9iN/h\n/LUAlmXdiN+cT1gUmorlpqQSfkRuIuv3zetJN9bVehChqbg2pl4bxfM8Lbadf+m51PY9nCoUAOjL\nNG92Hp7DbdFp8exUkSOnam88bmzXq3ZvQNM0LrtgqGabhFn9ehiGf07H8Xes2A4AA71JwI8+ZVLL\nYa2hNeyJcQASQ8NdHomwWgmDtW4XDVH1dBrPsfHsOdfVBEEQhBVK8chhTn/u76PHm375fdHP9vhZ\n3LK/yK0nUy0fs2viyLKsd1qW9YGgI/ZvAt/BF0V/p5Q6DtwFFC3LegDfsOGj3RrrakNDw6O9GYuu\nayRMnUrFFwXpZOP0RV33Z0S2a2PqJrVW8dWfI3Hk1Yqj6UIRgN50c3EUTrrOxYU+jGbt3DrArq2D\nAKwfrHqFbNnQWyOOQnFYDn7/iu2PO77NSsKemADAFHEkLBHhvaCb7SKMTAYAt1js2hgEQRCEpSP7\n+GN4jk1qxw6GX/N6NF1n8GW3AuDMZCns3weAlkq2fMyOLnUrpZ4Hbgx+/nzs+a8DX6/b1gU+1Mnx\nrRU0oE1tBPgCIRQF80WObNcmYyaxHY/hwhWUjHEyRia2XWNxlCsWAb3p8ePnaGXSFd/G9bxZ+2aS\n1fPEIz83XV7b3zAUR6VQHAVphaaxMsWRk/dTUPXe3i6PRFittBvhXQqMlL9S6JZLGPR1bRyCIAjC\n4uOWSpSOHSUxspENb3pr9LzR59/vC/sUuC7oOprZfNG9npWTByR0nWTSgEIFoGkKWZh+VnJs+vUe\nbMclY28gY2+ohnxoLo5KTgVIkWoSmYL2IkdOLKenVHaicYdPh6vbUCv41vXVrjCE4ymWfXFk2/4B\nVmrkyKtU0BKJWUYVgrBYRGl1XcyrMzJ+NNgtlro2BkEQBGFxKZ04jj1+lsnv3wNAelet6Y/R79cT\nhVGjgRfd2NZ8Z2XO7IRzQ2s/rQ6q0ROAnibiaNuIr9YncwVM3TcuCImLmao4qh3HMWcPCVOPVp0b\nD7/1FemwRgiqwsYfixccq7ptPIpUX/OUro8cBTVHK1ccldvKvxWEdqlGabs4hrQvjrySpNUJgiCs\nFs585f9Ewgggs+uimteNvv7Yz330XXd9W8dfmTM74ZxYaKwgLo6aRY52bumnrzfBdL6I5+ocOjnd\ncLtQHB2aOszdh++Nns+5UyQTc9uxt1Po7bjVyFSxXC3KDlez4yJM1zUSCYPhgfSsFYYwclQq16bV\nJVZoWp0bRI4EYakIo7JdTasLxJFbksiRIAjCaqT/+hswh2vrp/WeHjD8eVvGuhRNb2+uJml1a5KF\nRY7icqFZ5MjQda611qP2wanxIoXpqjiK1/+E4gjgwOTzNdsk54nGtFNzZMcU1Ey+wpb1/s+hZIqn\n1QF88I7LGh4nNKCYyvmuJ5Ugrc5cqZGjchlN6o2EJWQ5uNVF4kgMGQRBEFYFnlPNAtr4zneT2DAy\naxtN0zD6+nCmpui5ZHZPzvkQcbQGWaghw+lJ32Z7y/reOaM7u7f3Yx7UOX2mhN1kUqI3iV+5ntdy\n5KilmqNYWl0obAC8YMZWPwqjyeqCaejs2NTPkVMzHDudpRJ8OVdi5MjzvKDmqHXnFkFol3YWMZZs\nDKE4KkvkSBAEYTXgZLMA9FxyaUNhFNJ31TU409Mk1q9v+xwrb2YnLAoLiRzt3uZbXr/oso3zHNtl\noDeJVnd5uU0iR/ExeR6YxtyJf5qmoWlaS5OueFrdoZPT2EE6XDiW+sjRXNx0he9g99Czp1a0lbdX\n8U019KSII2HpCL+nXU2rCwwZPDFkEARBWBWErUiMwcE5t+u7+hoGX3bLgs6x8mZ2wrmzQIeyl7xg\nC++67WIu2Dww53a2a9OTMtA8PwK0ZX2QvhWbIzVyDQl1TCtui5rWvlvdyTM5vvvTo/65vOpxWmXz\ncA8j6zKMjuex7ZVbc+TmcwBScyQsOZoGdYaUHcVIhTVHklYnCIKwGqiMnwUgsX7Dkp1j5c3shHNG\nY0FZdZiGzoZ1mXm3q7gVEqbBpqFe+noSUXNVp07NpAw/crEh4xfShZGghDn/6FpdkQ7T6q65eITB\nvhSHTkz7aWVhWl2bQjGR0HEcl4qzcq28C/t8a0tz3bouj0RY7ehdjhzpYsggCIKwqqiMnQbAFHEk\nLCbaguVRa9iuX49zze5NvPc1l0Rpcl/83r6a7d5uvYlX7ngpL9x4FVB1kNNaEkftRY6Sps7IujQV\n2yVXtKtpdW2Ko7Am6bnnx4GVKY7CBrDpnbvm2VIQzg1N67ZbXdAEVsSRIAjCqqBy+hR6KrWkC7wr\nb2YnLHts17fMThgJDF1vGp3pS/Ry8dButvVvZUNmGF3z/UEMY/48nHZrjgxDZ12fP1GazJYiYdVO\nzRHMrodaieIIx/98JK1OWGp0XetqWp2m6+iplPQ5EgRBWAW4pRL2xASJjZuWtIn9CpzZCedKq8Ji\nodheII701swQU0aSn7/4jezs3Q3A/tIT3Hf8If9Yrs2Pjz/ImcLZmn30FiNH+45NRdsP9QfiaKYU\nixy1NMQIo24HcwXWHIU2mJoxtyugIJwrmqbhLmGUuqUxpFK4YsggCIKw4imfGgUguWnzkp5n5c3s\nhEVhKacrYeTIDCJBcTnxnYePMBZYgs/C9S/HrDvF02eew/Vc1MR+njmzh389eHfNprqu1TjRNePZ\nQ376WzppRpGjiZg4anfloV4MLeXKxVIh4kjoFLpWtc3vFpqZwLPt+TcUBEEQljWV06cASGzatKTn\nEXEkLCpPjj3DvomDAJh6MPmO6Yc9hyf4zsNHGu8cuNuFdUAz5SxnCr64KdhF3Fh+TjppUiw7s49R\nRxgtunj7IIN9vgHEdL4cpfq0X3O08sRQPZE4MkUcCUuLb5zS5TEkEnh2pbuDEARBEM6Z8ilfHCU3\nijgSFhkNbUF9juajYBd44MQjHJk5DoAZpNXVC5BUkyavnqMH2/uPp0rTlJxqOkw8tS6dNCiWnXnT\nA10PejMJEqaBGZgpuK4X63PU6m/nY6zANLpZhN2lJXIkLDHddqsD0EwTz7a72oxWEARBOHcqp0bR\ne3vR+/qW9DyrYKYnLIglmCiM5k7XPDab1Bw1swN3HV8VaYE6KrsVHLcaHTo6cyL6OZM08DyPUmXu\n6FHFdkgGpgmhEHK9qm1422l1qyFyFKQYabqII2Fp8V0luy+OAIkeCYIgrGCcbBYnmyW5afOSlzSI\nOFqTLM1FNV6crHkciqP6a7iZwHDdMHLkv15xKtheVfycyI1GP6eT/rHvfvgoP37yBM2o2C6JIH0s\n/DI5rhel+rSdVmesAnHkOP6H0m7YTBDaxNA1KrbbUn3gUqEHroxeReqOBEEQVipR89eRkSU/l8yO\n1iCatriGDOPFCRzXYbo8U/N81ZChVlA0O7dn14qjslvGdm00TSNhJCjYVTvedNIXPIdOTvPY3rHG\nx/O8QByFkSMter5qyNDqb+ljrAJB4bkummGsSDMJYWWxY1M/pbLD43vPdG0M1ciRiCNBENpnbLLA\nn9/1NMdOZ7s9lDWNPTEBgDk0vOTnWvkzPaFtFrMJ7PHsSb6k/oV7j93HVGm65rVGhgzQvCmkE6TV\nhfqj7FSwXRtTM0jpSSpOOdq2vzc579gqtr9aHaXVaZpfIO56kYNWuwKh2/UTi4Jji1Od0BFuuGwT\nmZTJw8+dmjcFdqkI+3lJWp0gCAvh/qdPYtsuP3qqeZaKsPTYk352kjm4dM1fQ0QcrVEWa44f1hnt\nmzhI3s7XvBal1c06eeNjOXYgjsK0OjcQR7pJwkhQdquTm+HAhS46ZINfqByIo3ijVk3zBc5C+xzN\n5Mrzb7TM8RxHzBiEjpBJmew6b5CK7ZIrdEecRJGjiogjQRDaZyr4uz/YwqKssHQ4WT87yejvX/Jz\niThagyxm5Cjuele0axstVmuO6tLqmkWOgrS6cPtyUHNk6iZJI0HJKUf7Dg+ka/a1ndk1DWHkyIyJ\nI13XcF2qNUdtqqNEE6e9lYTnOGhGaw16BeFcCRcnwu9jp9HMMHIkaXWCILSH53lMzvhzm8He1Dxb\nC4uNWylTOLAfz3Vx8znQdfRMY1OvxURmSGuUxUoOi/ceKjm1UZVmbnXN+p44tlYjVo5nT5It5zB1\ng6HUIJ7nYbs2CSNBb7r22BPZMhvrXPAqgWCKW4eH1sILTat78RWbcV2PZw6e5cpd69vat9uUjh4l\n9/STONks5sBgt4cjrBHCtNZyt8RRmFZXXvlRX0EQOke+aPO5u1X02DSlTrfT5J54gukH748e65lM\nR+qlJXK0Flmk6+oHhx7k0VNPNn3d1EKXuNrnm0WOKnate1xo8GC7DgnDn+CEqXWappFKVkXPF767\nd9bxykGNQ8Kojxwt3K0ulTB45bXb+LU3v4BbrzmvrX27zcyjD1PYvw9cV9LqhI4RukV2K3JkBP0w\nnJwUUwuC0Dp7j05SLFUjzl73TDfXLOVTozWP3UKhI+cVcbQGWawmsA8de7zpa6be3A2tWb2TY1eF\n1ObejTWvpQw/nH1g8lD0XF8mMef4Kg1qjvSg74q3wCawIQlTX3Fub3qmJ/rZHBjo4kiEtUQ1ra47\nhgxhfrozMzPPloIgCFXicwdYJYZMKwwnlwPDYPO//RDG4CB917ywI+cVcbRWWeLveDylblbNUZN9\nXM+LglpXjVxe81qP6afM3X/i4UjYLEgc6VrQ5yg0ZFhZAueccPzJae+VV7Hu5a/s8mCEtUK30+qM\nfn8hoH4FUhAEYS7CecI1F4/UPBY6g+d52BMTmIPrMDIZNr3nfQy+9JaOnFvE0Rqkvu/QQpiv633Y\n46idfV3Xi1L+BpOD3LT1ejb2bODtF7+RvmRvtJ3t+mHu3duqdTOZ9Ozz1Vt5Q7XmqNrnaO2IIzdw\n6xq4+aVRqpEgLDWJRHcNGYy+Psx16ygdOYKTldQ6QRBaw3H8eYJphD0SuzmatYeby+GVSySG/b5G\nnZyviThag/hNYM/tW15x53Z+inocMVsMNbvBeF714jd0natHruCtF72B9ZlhDK16qYZ1R5dfMMxb\nb93Fuv6UL6zqKAdpPCfLR/i7Z/6RfCUfudWFY1hD2ihy6wqtjQWhE4Q1f11zq9N1MrsvBsCemuzK\nGARBWHk4biiO/HuYRI46S3i/NtcNdfzcIo6EBVFxG/cMqYqb5gX/TSNHsefrI0/b+6vmB5WYKcO2\nkT56UiblijvruOFk7InJRyg5ZZ6fPoquaXieF4mptZRW59k2mmmuqWiZ0H1Ct8huNYEFMIIaO2d6\nep4tBUEQfBw3SM0PxJHXzGpXWBLCSH8n+hrVI+JoTXLuhgxTpcaTjF7TL/rXteaXVqMzh4IlnLbX\nT+AzZoarRq4AoFxnGZ5KGHieV1PT4HoexbJTc6ykkWyQVtd0mKsOr1KJbI0FoVP0BCmv011soByK\nI3t6qmtjEARhZREuooa9EkUbdRY3nwNA7+mZZ8vFpyP5NZZl6cCngKuAEvB+pdT+4LXNwBdjm18N\n/K5S6i8ty3oMCGfhh5RS7+vEeFc7GpCvFHj2rOKy9daCjvHVA98imZp9+aTMFNlKDn0O3d0ochQ+\nk9D8DtSJBj2SkqGdt1MbtQotvUsVJ1qlvutHBzl22l91CFsnVdxKZOUdDqHdJrArGc+uRA0xBaFT\nZIL7xIHjUxwby7JtpPP1bmFfL4kcCYLQKrPS6kQddRQnnwfA6O2dZ8vFp1PFB28C0kqpmyzLuhH4\nY+CNAEqpUeBWAMuybgL+APgby7LSgKaUurVDY1xz/PDYA1hDu+dMgWuXpO5PvueKHDW6wYTPXWbc\nwiusTSSNZNNjl+tS+kJBVC47ECwwhMIIqgKo7FTQ9eSadavzKjZ6Ot3tYQhrDDPWZ2z/8amuiCOj\nrw80DVvEkSAILRLOSxJSc9QV3FwYOeq8OOpUWt1LgG8DKKUeAq6r38CyLA34U+BXlVIOfpSpx7Ks\nuy3L+n4gqoRFwIl1MjuePbmgY2zs2dDw+TBdL26gUH8/aZZWB5DQkwyl1zU8diiYGqXVARQb1DR4\neFFaXdkpBzVH1dzhtaKN3EoZt5BHS4gZg9A9hvpSXTmvZpoYvX0SORIEoWUcL0yr8ycKIo46h5PL\nUTiwHz30HvsdAAAgAElEQVTT05XIUafE0QAQT/Z2LMuqn6W9AfiZUkoFj/PAx4BXAx8C/rHBPsIC\niJspHJh6fkHHcD2XpJHgHdabZz0P89QcNbi/BHWPc4qVnoTf6yhbydU8n5yj4NvDjdLqym4ZXfcN\nGZw1ZshQ2LsXAD3ZncmpsLa5ctf6bg8BY2AAJzuD53TPGEIQhJVD1co7MGQQbdQxpn/yIF6lwsCN\nN6EZi5fd1CqdEhvTQNxuQldK1XtBvxv4ZOzxXmC/UsoD9lqWdRbYAhxtdpKhoR5Ms/Nv4kpDT0DS\n8D/60dJJNmzoa9vBzDysk7QTXLx9O8nnYw1fEx7JlMnQQD8jI/5H3t8/VVOf1NOTjF4LyRcrJFMm\n/f3pWa+FGL1bSB438ZKVmm02jRdIpkwyPSlGRvrxPC86n4NHKmWCpjHtTZHu2RhsmySZMhkZ6Wd4\nYPWnmrl2gXzKZMerXk5vk/d3OdDssxdWNldesok9x6bom+P7vVSE5ytvHWHq7CnWpTySQ3KdCQtH\n7lNrg3CesGmk3583ZGbPXRYLuaaqFEdHGdu3h/7zNnP+LTeuanF0P35k6P8E6XFPN9jmOuCB2ONf\nAV4A/JplWVvxo09z5oBNTOQXZ7SrnHyhFP1cLmU5cWq8YY3PXMzk8vT2pBkbm6Fc8nXui7e+iEdG\nH6Pi2nglnbGxGQCmZwrRNgAz2VL0WjSmYoVyyaaQL896LcRxoVK2OTF+pmabYr5MuWRzeizL2Lo0\nFduNzudoZYySjW67PF86Tj43iVmymJzyxzQ+nsMpNbYlX01MHj9FuWQzo6XJN3l/u83ISH/Tz15Y\n2cxM+9+3iYl8Rz/j+DVV1FP+feLQCVK2JCHUMz5d5BsPHeZV121n77FJzk4VufHyzWwe7rxT1HJG\n7lNrh+npov93M7h/zWSLS/LZyzVVpbBvL+Pf+gYA/de/mDPjSzevn0uQdiqt7i6gaFnWA8DHgY9a\nlvVOy7I+AGBZ1ggwHUSJQj4NrLMs6z7gS8CvNIg2CYtAyWnfYtd27cggIWRH/3lRc9hMkALXmAaG\nDFFT1uYRLEM36DF7mC7X3kSSCf8yDtPqKnY1bcbDZfOeU9x4z2FG8jqFILszDJevJrO67FNPUjh4\noKEboD09jWaaXbHEFIQwfdXpotuTETjWiSlDY+559BjjU0W+eM8+HlNjHB6d4fF9Y90eliB0jbDP\nkaTVdQa3UmHyh/cC0HvVNaR3nN+1sXRk+Uwp5eLXDcXZE3t9DN/CO75PGXjn0o9OqDc4aAXbtTGN\n2svH0A1GMusZK5xlJBOrMag3ZGhYcxSIlXnUykCyn9H8KRzXiVz24lbe/v9VwwlPc9i4fwwt2cfw\n2RJOn41HtQdSwlwdrb7sqUmmfvB9AHqvvIp1t76i5nW3UEDv6ZEGsEJXMILJRTjZ6AZmf9gIVnod\nNaKxUU7HhyEIywZXrLw7Su7pp3DzefquvZ7Bm1/S1bGsjpmhsCDSpl+c327kyHEdHM+N6pZCTM3k\ndRfexu0XvJLt/edFz9ffTho5vrTalLU/2Yfn1ZoypEO3urLDmckCh0erkSWPwCACjaRmoGngahVy\nRT+VLrlKatTcQiH6uXjoUIPX8+jpuaJ5grB0GMGiRxix7coYBiVyFDI+XaRQsrn7kaN87b5DOK5b\nE3H+ldddCnQ30icI3Sa8/hPiVrfkeJ5H7qkn0BIJ+q+9ttvD6VjNkbAM6U30UrRLbYsj2wuiLnVp\ndaZukDSS7Bzc0XRfLbDSridqyjqPOupP+j1SpstZBlP+SnDcre4fv7s32nbTcA+XWgNk92igaSQx\n0fVyII5sTENfNU1gw2ZpAF65VPOaW6ng2TZ6RsSR0B0icdTFyYXR1we6vubtvHPFCp/7jiKZMCgH\n0faZfKXmvpwOovGeiCNhDROKI0PS6hZE7mfPYPT2kb7ggvm3ffpJnOlpei69bFks5ErkaA3Tn/C9\n40tOaZ4tawmtwBP1aXXa3FEYTdPQNBrWxITpNq2k1QHMxOqOoiawdVbeV+wcZngwhaf5kaOEZgaR\nozKO466alLrS8WOM/+vXosduuVzzHodRJUPEkdAllkPkSNN1jD7pdXR2qgjU3i/Ltlvz2YT3YVvE\nkbCGqdguuq6haxq6rknkqE0m7/kuZ792V0vblo+fAKDvhbPaoHaF1TE7FBZEbySO2owcBaYL9ZGj\nsAZoFrH7id4kcuRGkaO5z10VR9nqMXWNRMKgVK4VR5mUie3aeLqGpmkY4fmDVLvVIo5yTz1Z+4Tn\n4VWqDnzOjD8ZlMiR0C1CcdTtnH1zYBAnl8Wz1663z/jM7MUw23bJB66d77n9kiiC3+3PSxC6Sdl2\no5pmXdPk+9AGjRbB58KZmQbDwBwaWqIRtcfqmB0KC6Iv6Yujdg0ZInFkJObZ0seLqyOtcWjaa7Ep\na9gINm8Xap5PJXSKFYe+nuqY0knDH6umoaGhu4E40vxzrZZ6Iy1ZtWEPBZBXrn6mxQMHAEht297Z\ngQlCQBiJ6HYNi9HnL644uew8W65e6heRwE9JLpQcto70MtSfQgtXymUyKKxhyhUnmidomtQctUWb\n5jv29BRmfz+avjxkidQcrWHCtLp2xVFo150MxNFLz7uRYoupeZqmYTuzvzThTWe+tDpTC5q7erV/\n4NMJk5lCOXKVAejLJJgolnB1DV3TMQ4coS/Zw0wYOUosjy/huRKmzWmmSXLLVooHD+CWSxj04Xke\nhf170VMpUl20xRTWNobefbc6AC3h37PWcuSo0QRvOuen4vamq4tLkkYkrHVKFSf6Tui6htfd29eK\nwC2XKezdg55pvW2IZ9u4+TyJ9RuWcGTtIeJoDdN7jjVHpu5fPldsuLSl/TQNKhWH8YrDkVMz7NhU\nbcBV7XM09zHCSZZbN8lKJnXK0/5z/T1JXvfi8xnsS7E3W8QzdHQMXNvmsp8e4ZGLdvv7rJK0Omd6\nCi2RYMuHfp3p++8DqpGj8skTONksPZdd0ZUu04IAyyetTkv496w1LY4afAZnp/06pJ50dUpg6FpX\na8QEoZu4rodtu1EfRU2TxYJWOPu1f6F84nhb+4QOosbAwFIMaUGsjtmhsCBC57eSU5lny1rsKHLU\nmrZudD957vBE7TYtptXpgemDU7eEk0oYeJ5HqeyQShpsGvJXLQp2ETtpYOg6Wm8Ppu3Sn/O/iNdc\nNNLS+Jc7zswMxsCgnwqTTvvPBe515dFRANLnX9Ct4QkChrE80uo0Q8RRowneoRP+PXHr+t7oOV3X\nuuouKAjdwnZcsoWg3UcirDmStLr58Fy3bWEEYE9OAn5N6HJBIkdrmB4zg6a1Hzlqt+aoEfXpc62m\n1RlakJ5Tl1YXOtZBdZUaoOgUMRwPM91D5crd6N8/xhU7+rn2xZfXrJKuVNxSCbdUIrnV7ysVrrzk\nf/YM6Z0XRil3em9v02MIwlITfiftLkciNLOxOPJsm1Of+3syu3Yz+LJbujG0jhGf3w0PpBmfLpIt\nVNA0je0b+6LXDE2bFaEXhNVOrljhzm/uidL/w3uXYegSSZ0H++zZtvcpnTjBxN3fAiAxsnGxh7Rg\nJHK0BtnRfx6GpmPoBkk9SdldWM1RvVtdO9RHiCJxNG/kqIk4ShqxbarHKNhFdNfDSCQj44ITOUU6\ntfIvfbdSZvLeewAw+v0UxXDlpXjoIPlnnq6KI3GqE7qIpmn09SSYmCm17WK0qONoIo6cXBZnZprs\nE491dXydILzX3n7DDm65emv0/Mi6DJlUdcFI17WuR/oEodNMZcuRMOrrSXD+5uBvq6Fjy2LBnLjl\nxnNJz5ltAhOSf+5neOUygy+7ldT5y6cueuUvnQtt89qdt0UOckkjScleoDgyTFjgvcKoixB5Uc1R\na+LoRHaUqdIMgyn/xhWPHMWjT0W7yLCnoRsmejLlv15xGS9OsCGzfmGDXyZMfv8eCnsVAEYgiuI2\nmPbEBG5RehwJy4NNQz0cOD5FtlChvyc5/w5LQNPIUcwkxj57hsSG1ZFy24gwhXlkXabmfrtjU1/N\ndoauYVdkMiisLUJhdMPlm7jxss3R86auYdvyfZiTQDz2X38DhYP7o0iS5zjNa54D4ZTetWve+V8n\nWfnL50LbaJoWiYyUkWw7ra5kl6J9W6GR8JmVVhfVHLU+jnuP/jj6uZk4KthFTE9DM030IHJk2A7l\nNuusliPl0ZPRz2YQOdJTKUbe/g4AnHzOjxzpOloq1ZUxCkLIpmG/DvDURGGeLZeO5uKo+rh46FBH\nx9Rp3Nj9eLC3eg8/P2aQAxI5EtYm4TVv1llKm4be9bTg5Y7n+kJHM80aMTRXjacXCCpNW15yZHmN\nRug4KSNFxbVx5/GodNxqWPRMwV8N2NA73Na54rqnPnIUpnq0s3IQuuZBnTgKDuF5HkWnhOlqaKaB\nnvLNCgzbpegUa36nlYhXqorauMtLmLfr5vO4xSJ6KrWsVmSEtcmmIT96eWo837UxNBNHxB4Xn1/l\n4ii2EBVfSNq8vtZ6V/ocCWuRShAdircFAd9UxvM8+U7MRZh2qOsQFzt1aXXOzAxTP/ohbqUc7aMt\ns76Tkla3xkkG0Z+yUyZtphtu87Oze7j/+E940+7XMpLZwOnCGfqTffQkMuSYmfccNU1gA+pri8Lo\nUjv9vwyt+mVqZMhQckp4rovpgmYmMMK0OtvhO8/fC8CvXPGuliNgy414Hq/RXxVHmmGgpzM4+Txe\npVLTJFYQusXGUBwtx8iRXf0uhc5Jq5VoISq4T/7Sqy0qjjt7MiiRI2EN4gRpdaZZO0dJBN8P23FJ\n6strIr9ciKJAul6zGO6Wikw//BCZiy4mveN8xu/+NuXjx8AwqvOYZfaeSuRojRMKg9IcjWD3jO/D\n8Vy+eegeZipZinaJjT1tNOtq8Pe1PpBRLYJuPcJhxL5MNYYMwR/9gl1Ecz0MTUdLJDCC1DIjlkdf\ntIstn2+5ocWs1OsNF/TeHtx8Dq9SRk8s3DhDEBaLdNJksC/F6Yk8rufxyJ7TPPv8eEfHEIkjpz6t\nriqO3FJxVZsy1JvfDA+ko9YHcQxdx3W9Vf1eCEI9dpO0urAdgaTWzUEYOTL0mkne6c//A/mfPcPZ\nf/lnAOxJv5WLMz0V3Xu1dlbGO8DyGo3QcUJxlLebr+YOpdcBULALPHrqSQA2ZhbQyTime+r7BVTr\nklo/nB4L26YS1Z/j4ki3XXRNR08k0BNB5ChWfK0vszzXdoiHoevT5oxMD26xiFsqoSUkciQsD7Zv\n7KNUdnhMjfHA0yf57iNHOzuAsM9RpXnNEa6LV6mtSXRyOca/9U2cbHbJh7jURFH6+cxvgluj9HYR\n1hKhIUN9JDV8LI51zYlHjppN5px8Lip8dLLZmKCSyJGwjBgJHNsOTDbPs4/X5uwZ3+fv107kqAH1\n95fwz+98f7DjGDXiKJZWFxyj6BTRHRdDM/y0ukQCNA095jjTKOVvpRA6bK17xStnvRbva6RJ5EhY\nJuzc4qd/3v/0yXm2XBrCKKpn14qfeqtZt1gbUZ743t0U9immfvSDJR1fJwhrJua71Yb3YqmxENYS\nYS+j+rS6UBxJr6M5CCd2mt60RmL0b/8at+DXnVbOjPkpzrq+7OqiRRytcbb3+81Ds5Vc023sBsYF\nI23YYMcT5m6/YQfgr0bajsvXH3iew6Mz1dSNNr4f8ZqjZEwcaVHkqBSIIz+tzjRMXEOLnoPahogr\nDc+ukNi4kd4rrpz1mtFTTZPRpeZIWCZsqSv6T5id/ROkJQNxVNePI6xB0oK6RLdUxC2XOfv1rzL9\n8EM4M35t5WpIMWu14Xb42VTslf87C0KrVMLIUZO0uoojkaNmRJEjwyAx3HiOqJmmv0idzuBVKlTO\nnmlu891FRBytccJGrnNZWzueP3HY1OP3/tC0qpFDK4T9M664cD3rB33TB8f1GB3Pc/D4FP/y44PV\nVI82xh5PiUvG0upCQ4aiXYjS6rSEiYaGa+jojstFQ7uCrRf/D/9EcTJy9FsqPM/Ds+2auqM4ek8s\ncmRK5EhYHsSbjILvDNXJtK1Q/NSnzYXiyAgirm6hQOnoEYqHDjLz0IO4eX+lU18Blvj5YoUjp5ob\n5VTd6uYWR5JGJKxFwrS6UAyFhGLJEXHUlKq5gs7AzS8hvWt39Fr/i27AHBpi03t/hY3v/mX6X3SD\nv0+lsuzqjUDE0ZrH0A1M3aixxa7HCWy+z+vbArQfbblg8wDve+2lvPTKLRjBl8B1vcj9xT9m+0VH\ncUMGvUEPpYJdxHBcDN1ASyTw8CJxFJ13CcTRF9VdfHnv1xb9uDU4DngeWqKxODIkrU5YpoT9jhJB\ntLfSwUajYVqdW67r7Rb8UU+s91c7p++/j+Khg9HLYTPl0NChkxwby/J333xuTsET5/Pf28ddPzrI\nxEzj/nVhltx885FIHEnjS2ENEabNJRpYeYMYMsxJrOZITyYZvPmlAJjrNzBw44vZ9EvvxejpJTE0\nRGJDrDRjmTnVgYgjAT96VJ7Drc52bUzdYEMbqXT1DPQm/eazgXBxXK/GJja84bTSBPbCwfODbauX\nbzxfNaw5KthFNMdFR/drjjTDF0e2u+zyW9slcnhpEhXSY2l1YSqRICwH3viSnbz+xRewa6tff1Sy\nO9dvTDNN3z62XF9z5EeOwh5hlbHT5J/92az96yNOneDw6AwzuTJ3/ejg/BsDuYI/xlyx8Vg9r7XI\nUZhWZ0vNkbCGKFeChZK6lN/w+7IaUmuXCi/e5wgw161j5O3vYORtb5+1bc0cxVh+UmT5jUjoOEkj\nQcVt3MHYdm1O588AsGNgG+f1beEV21+64HOF4setE0f5kv+HvBXRcuOW64DmN6noEM8fY93JaQzd\nQE8l6U/2sWlwC9vSG9FY+hvdvUfvW7JGs+EkrdlKdrzmKH3+BUsyBkFYCJmUya7zBqM6wXAy0in0\nRBK3vuaoEoqjkZrnU9u2M3Tbq9n47l8Otuu8OCqWq+9PM8HTiGb3Utfz0DRt3nttmJ4skSNhLZEN\nvmO9mdpFxXBhV9wb5yDuVheQ3LylYTqynow9J5EjYTkyV+TokdHHAd+UIaGb3LHrdqzh3Q23bYUw\nrc5x3RoXpEIpiIS0ENAJI0auN/uP9pnMEzyQ/SaebbPugadZf2wKDTCH/RDu5oEtpDQTrQN5w3vG\n93Fk5tiSHDsqIG8ijuI1R6lt25dkDIJwLoT2+/HJfyfQkolZhgzl06cAMIeGo+eGbns1w697Az2X\nXoY54Ee5Cvv3+V3dO4DneTy+d4xnDlbrF5/Yd6bl/RvdSo+fyZEr2C3dZ6PIkdRYCGuIbL5CJm3O\nsvIOvzKijeagLnI0F3o6Hf0skSNhWZI0klRcu2EUZa7+RwshXI2cFTkKVmu0Fuzq5hJHJXMSF4fc\nmVFcL3CqM81oRTisv9GC1eqltvLe38Ai3XEdnhh75pwa0IZWxHNFjgZufikb3vy2BZ9DEJaSgV7f\n1GUq2xmxEaInk36j12CBoTx6ktLh5wEwAhEEkNx6XrTiGf+elQ4f7sg4T08U+NGTJ6LHmqZx4mxz\nV9F66u/n2UKFr9y7n6lsqaWWCeFClrhzCWsFz/OYKVToS89ORZfI0fx4bhsNXQ0j6m0kbnXCsiSh\n+3/4G5ky9CRmd04/F8LvjON6NZGjfCmIhLRwRUb9NxqII/91mDx9DNdzmblkOxt+/heiQuzEpk0A\nJI+OAou/ClQ/ITk8fXSWE+DBqcM8eOIR/mnfvy78PGHN0Rw3lf5rryO1XaJGwvJkqM8XHs2MA5aK\n1PkX4FUqZJ/yG1pXxsai1zRNY+O738PQq27HHBys2a/3qqsBX0wtJacm8pyZLHD0dLXh7KXnD7F+\nIM3piULLfYecuu3i6YtaC8WdCVPS6oS1heN62LY7y1UTqlktTaYdAsTcXuYXO5qmVdPtJK1OWI6E\nttzlRuLIzCzqueKGDEdPV92XCqE4aily5H+Rmq3gaJrGzNQZPM/DHh4kGRRZA/Re/gIwDFLqcKCM\nFlcdOV5tilDFtfn0M/9QEyUKo1XT5dbcpxritX4TEoTlyFC/n1YxMbPwCOpC6L/2OvRUiuxPH8Yt\nFiPnuuHXvQGAxPB6ei65dNZ+Ay++GXSd8skTs15bTL74vX3843f3RvfEn3/5bl71oh1sGs5g2y5n\npv33a756yXpxFI8AtWJHXLXylpVyYW1QCRYCGvVf0zSJHM1HW5Ejqq0RJK1OWJaEvY4qDXodhVGa\nnYFD3LkSHu/Y6SxPHajm0ueLgThqpeaI8CbVuFZB0yA7M44HeOnafkxGby89F12MMZ2j70xu0ZPq\nGjXMBZgqTQPw01NP8Pjpp875PFGztVbs/QRhGZJJGaSSBhOdTqtLZ+i77nrcYpHc00/hFn2xETcx\nabhfIkliwwjl06ejlLylZO/RSQCSwURtc9BA99R4njNTBf73V57ik19+ksls48hbvTiKR4BaiT6J\nlbew1gjr6+rrjUDc6lohcqtrUezo6WDxvZWUoQ6z/EYkdJxk2Ai2QeQoXCW5OGqaem7E7bzjhCs2\nbRkyNJQ2GrqmUcj6EwvSs5vV9l7pp8cMH51gKSNHIzHr8zBa9Mjo44wXJ8/9RG0UPgrCckTTNIb6\nU0zOlKIoSafI7LoIAHtyArfgiyMtPX+UPLllKzgOhX17l2RcUzGhkw0suUNXv81Dvjj6wePH+dI9\n+6Ptnjk43vBY9dGhdmuHqoYMMhkU1gbhtd4ochQ57crXoTnhom2rrVLC+csyFJwysxJIGIE4ahA5\nCif1raS7tUojcRSyUEMGz/NwtAq6508kijk/UkMDC8mw+ZhZthf9OxkXR7qmc/3ma4DmEaWFEkWO\nluGKiyC0ys4tA3iex54jEx09r5b0F028SiVq8Bp3T2pGats2ALKPP7ok47rzW3tmPRdO1IYH02TS\nJq7rYTsuO7f45hGPqtOUyg6HR2f4wePHo/3CyJHn+fWdtt3ezS6y8hZDBmGNUIkiR7PnIZpEjuYn\nWrRtMd0/6tfY+eba89GREVmWpQOfAq4CSsD7lVL7Y69/FHg/EFbGfhDYN9c+wuIRRo4aGTK02jCw\nHQxdo9k6cSun8Xt01IqjQ9OHGe27P3iUhGKwAttAHGEYaIDmeIvuVhfva2ToBmZQH1Vfi3TOtNrm\nXhCWMedt8C3nOx05CnPd3VIJt5BHM82GvTjqSV/oR9DDaJPnOKDrS9pUOhlYnuuaxi+9yuKvv+Y3\np/2567bztfsPcWo8z+P7xnh835ka04VQHH3+u/tIJQ0u3zk8++BzIFbewlojTCFtnFbn/y/aqDmR\nUVSL85KoJUmH3OpKFYfx6SIPPDPKTL7Mb7/nRU237ZRcexOQVkrdZFnWjcAfA2+MvX4t8B6lVLQc\nZ1nWW+bZR1gkqpGj2bn/UeRoEf/4zxk5avE8umbUiKOzherKs6aB7rh4ho7e4EunaRqeoaO5DkuZ\nVqdrOkawgtKsye6C8SStTlj5pIKUsVKnex0ZBppp4mSz2JMTJLee19IfdE3TSGzcROX0KSa+dzf5\n557F6O9n47veEzliLjZGbFyZlMm7bruYfMmmJ23yxpfs5NPfeI6fPHtq1n6O61GxHc5M+ZGx42O+\n+93m9T1cdsH8QskIJ4jHn8fekcEcXLcIv40gLF/ChQAxZJgfz7apjI9jT4yTffwxMhfuorB3L1oy\nid7bmstxz2WXM/WjH5BpYICz2Dx3eIIfPnE8+luTbuBIGKdT4uglwLcBlFIPWZZ1Xd3r1wL/ybKs\nzcA3lFL/q4V9hEUiqfspJo0jR0H61iJmYBpzCKCWU1XRasRRySn59QvZMsmEgeaBp2lRCt7sA+jo\n7uJ3ObJjIkhHwwxs0p0lS6sTQwZh5ZJKBuKo0oXohKZhT/j1OsnNm1veTU/7Eab8s34Ex5mepjI6\n2jHb/A3rqrVRmZTJRdsG2XPYXxz6xdsu5gvf9euhHMcjW5i9KHPdJRvZtXVw1vP1JAydofFj9O15\nisnSKBve+GYeeOYkuYLNbddLiwBh9RGm1SUaRY50SauLM/PIw8w88pPocSVopD14863oidm13o3o\nvepq0jt3LvnCi+O63PPoMTRgeCDNtpFeXv7CbXPu0ylxNABMxR47lmWZSqnwzv1F4M+BaeAuy7Je\n38I+sxga6sE0xdq4XWaMQZKjJmpmL7dY10XRDoC+fIrkhMn64V5G1vXP2ndkZPZz89HTk6TcpKpx\n/XBvS8fMZFKkkma0bWJcZ+P6Xjau99N0DE1DM3UG+jINj5dIJzHtIsNDPYwMtP87NCNnTpIMViT6\n+zJsGOonedqkbyDJhg190WshC3n/AKbH0mRTJoNDvQwv8BjLkYW+H8LKZLDikEyZmAljyT77Zscd\n0z0Ivo8bL9nFQIvnLw0P4p3y99v21rdw7J/+Ge3ofkZeeNk5j7X+/gDzfyduuW4HB0f9tgCX7Brh\nvekkn797D56h88V798865sYN/S2918lMksHSFLqu440ew33yYZ46lMHTdX5huLcaWVqDyH1q9XFi\nLMtP954hmTJZv372PGQsWyaZMukfaDynOFdW0jVlZ3OMPfVYw/vVBa+4ub00uY0D829zjpyZLGCY\nOldfNMIdL2vNXKxT4mgaiH/yeihyLMvSgE8opaaCx98Arplrn2ZMTOQXddBrhVyuQrlkM1aa4L69\nj3PZeit6bWq6QLlkMzlRoKdS25dnZKSfsbH2e/VUyjblWI1BKmlEoc7JyTyZBsWQs45RcsnZxej8\n41PT0TEN3cC1HRzPI5+vNBxjxfVwKw5nx3MkSufQb6iO0cnJaBzFvM3MdJlyyebMxAynjema3xvg\n1Omp5tGtOchP5CiXbKazJZwFfAbLkYVeT8LKxfM8KmWH8anCknz2c11T8e9iPjVAqcXz53IlyiUb\nPZOhuG4T3sAwYz99Am/HblLbzi2iMtSb5NR4nhsv38xDPxtF07R535eU5rGhP0UqYTB+NstMcM++\n/7ciRxwAACAASURBVPFj0TbWjiFUYHrhlBvfE+splGy0YoGK7VAu2Zz84f1sy/dy4MIXceDwOEP9\n89dorUbkPrU6+c4DzzMapJ7mZoqzPuOpqXAulF/0z3+lXVMzjzxMuVSh79rrGbjxJk78+f8GYOQX\n38WZ8eU3D99/bIpyySapU/M+zyVIO7X0cz/wWoCgfujp2GsDwDOWZfUFQukVwKPz7CMsImGfI4Bs\nJVfz2lIYMtTXHCUXEO0zdB2nJq2uWi/Vl+iJ0uqMOdLqNHfxm8DG67Z0Xa8xZHAbtNZecIg+dIUR\ntzphBaNpWs3iSCdZ98rbop+Nvr6W9zOHhgDI7L4IzTRZ94pXgqYx+cN7q30+zgHT0Lly13q2bezj\nF16xe97tNU3jbbfu4o6X7ATAaLC49MKLN/CRt13JB+64nHV9rYka09BJVIo196h1UydJlXJM5Rr3\nVhKElUq8lmh4YLZzpR7VHHVsSMuWwoF9oOv0X3c9mmEwdPtryViXkFi/odtDa8h40Gi80efajE5F\nju4CbrMs6wFAA95nWdY7gT6l1F9blvWfgXvxXenuUUp9M3C4q9mnQ2NdcySNqjiqj2K4S2DlHT/W\n7m2DZFImTwcNYVsVYYam19hjl92qKEkZKTTPA715zZFnGEtSc1SKjePqkSsie3TbtaNJxo4BP9f1\nyPQxXM/FoDVx6HkeUz/6AclNm2NNYEUcCSubVMKgVFmYOHpkz2lsx+Wmy1uvGQrpvfwKNF1vycI7\nTt/V12AOryez2++VlNy0mcyu3RT278OemiIRiKeF4Loemq6RSZm89ZbWe8vFaw+H+2f/PhsGM2ia\nf9xWMQ2NRKUQuXMZg+vg5DTJcr4rYlYQlpTgOv/AHZc3/J5okVvd2lZH9vQ0ldOnSZ1/QeTw2XOx\nRc/F1jx7doeK7fLgM6MADLcR7e6IOFJKucCH6p7eE3v9c8DnWthHWALikaN6MRHeCBaz8L8S2D3u\n3jbI6266oMZpqdXTGJpByasKkZJd/TltpsH1fLe6JsFRzfAjR4t9oyvZ/orqG3e9hg2Z9ZzK++70\ntutEQjM+JsdzadXjyi3kyT35BDlg8KW3+E+KIYOwwkklDHLF2WYw8zE2WeCBp08CLEgcAfRc2n6d\nkJ7OzJoImOt8QXT6c3cy8vZ3kNy8ZUHjCdZ0zolU0qAnbZIv2rzvtZdiGvqcDqFzHssu4WoeEzMl\nhi7cBBwhVS5gy/K5sMqwgwXH0Dq/Hl3c6gDI73kWgMyu1hdvukXFdjg1UYge9/e2ZhQBnYscCcuY\neOTI0HS/aaDnYugGHv4NYyF1Mc0oB70EQhvfTCoWOWk5cmTUOMCVnGqaR8pIonkertZ83J6uoy1C\nCkw9ZbdMz0Qe49RZ6NscS6uzq85/WjV2Fr6/reDkqimPlbGgJZhEjoQVTiqpY9sujuvW2FbPxfOj\n03z1x4eix4+qMa61RpZqiPOi91Sta2ce/gnr73jTgo7j4i3KQtQ7XnkRtuMx0MZkoB6vXMbwXMqO\nSznroMZgE5As53GctT1BFFYfjuN/95plr1QjRx0c1DLD8zyyjz2KnkpFkfPlyrHTWe768UE2DPru\nnjdcvqmt8hCZWQk1AsJ2He45+iM++9yXKDuVauRoEdPqKna4QuMLh3SyqtFbvSB1XY9qeBzXqekj\nZGjG/DVHhoHmeg3rgBaC53l4jkPJKbP7vgMUv/4tgMjK23adaMVJj1mMt7MK5cbF0dkzgKTVCSuf\naq+j+b+Lj6oxvvvI0RphBHDfUyeWZGytEhdH9uQkuWeeihoctoPneosSDO7vSZ6zYYKTy6JpkO0d\n5uDO6zirB06gTgVnCRaWBKGbOK6HoWtNFyfCifVaTqtzpqfxymVSF+xET2fm36GL/FSdxnU9TgdG\nbVsDJ+NWkciRUMPDo49FP+cquWjyvphpdWEX6rDRWjy/t9XzGJqB47l4nke5rj+TrgVmC7qG1kQc\nRaJikf7IT3z7mxT27aX82svIUBWcoS267drVhrrExVFr5/dsm9KRI9FjezJoeiviSFjhhIskpYpD\nT3ruP0n3P30ympxk0iZ9mQRjsbSJbmHUiKMJJr9/D5qZoKfN5ob+bWt5pMq6uRyaBtP9G5kY2kay\n5C/OGI4tkSNh1eE4XkMzkxBNX51pdZ7r4jl2S72JKmf92vDE0PxNpDtBtlDhWz85zAt2rueS86u1\nnrlihVyxujhlGjobBturLZWZlQBQY98dUnJKNRP6xSZ0qcskq2l1rdccVcVFPKUO/MmF5nl4Gk0j\nR17Qo2Mhq7uNKOwLGi9mZ9CCMXiu29CtTtf0tsXR5I9+QPaJqnD1Kr4glCawwkonHYij8jymDI7r\nRsLINHVuuWrrshESya3nkbEuwVy/nuTW8wBwi8W2j+N5ixM5WgycXA5d06gk/EmFa/jCVXdtHKk5\nElYZjuvOWZunr9K0uvFvfJ2Tf/UXFI8cnnfb3FOPA5DcNncD1U7guC5fve8QJ8ZyPPxctW79wZ+N\n8rdff5Yzk/6iWX9PkrfcciE96Varu31EHAkAXLmhWph8w5ZrAd8e243VySw2YeQoXDlu5zxGTHTE\n7bMhiNp4Hp6uNXWj00Jx5CxueoiTzUXCx7Pthml1WiytrlW/PPvsWdB11t/x5toXJHIkrHBSyWrk\naC5Ch7SLtq/jV990BdaOIdxlMknXdJ3hV7+GTe96D/0vugHwa3Y812X8W9+gsH9fS8fxvOWz4OHk\nsmhAJemLIye4lxmOLWl1wqrDdj3MOf6eht/L5XLPWQwq42cpHjoIrsvUD+9l4nt3Y89M49n2rIXj\n0tGjlI4cIbVjB6lgAaibHDg+HQkgLSZqT56tbUfz3tdewpY2U+pA0uqEgHASD74VNvjiqBo5WvxJ\neCiO4qHsVucFobi482df4NK6qJfmaehBzVHebtyQzAvS3XAWJ3IEkKvksaeNqvCpVDASfrqN4zlV\ncwv0KBLX6iTDyWUxenoxh2vD2VJzJKx0wsWR4jz20PmgaWsmaUQRI2cZLuPqCX+F0q2UsaemKOzb\nS2HfXrZ++Dfm/b56nl/30G08z2P6/vvQYpEjTzdwNcOPHElanbDKcByvqVMdxCJHHRrPUlAePUle\n7SGxfj2lo0fxnOo9156YwJ6YoHT4MFrQ3qD3BVeS3rEDY3Ad0w/eD8DATTd3Zez1nJqozu3Gp4pM\n5cqYhsbRU9ma7RaaXSDiSABq089Shp97WnbKS9IENiQZiKP4ak3LkSM9jBy5PHPmuZrXUnoSRzPx\nNI1sOddo92iSshidjjzPI1vJcaYwTuqsVyOONE3D1I2aPkd6zCiimVudPTmBk82S3HoepcPP40xP\no5kmmln3lRVxJKxwUonayFGp7PCdR46wfaSPay6uOtAVS/7r6ViN4shghvGp9tPXlhIt6d8/vXIF\nr1yNak/d9yMGX3rLnPc41wNzGUSOKqf8viC6plExq7n6eioZGDKs5CmiIMzGd8ts3nMwihwtwwWZ\nVpl55GE/UlTHhrf9AnoywenP/wNOLgs5X2BM/eD7TAG9V7yA8uhJMrsvIrlpYW0TFpuzwX3/4h3r\n2Htkkju/+dw8e7SHiCMB4P9n7z2j3DrPPM/fTcionEkWM0FSgaQyRUlWlizbsiyntt3udhp3u932\ndM/H+TB7zp7ZL7M7O7sz22Fsj+12OydZluWWJUuisqxEiRQDmFOxcgAK+ab9cHEvQgFVqCpUAHl/\n50gsADe8CPe975P+DwElwJ1r99EZaCed79WT0tJLUnO0Z1snB46POqHOkshRjcew0+oq0elrI+Nt\nYkLIsa110+wHqsM8p46OOg1pg+PFaXWqM1Yrrc5OURQdoYhqNUfDP/g+AHJ7hzMpe9asRVDKLtk6\nSqy7uKwEPjutLh85On5xijOX4py5FHeMI9M0mUpY85K/SN3ynuvXED0/6WyjGyaytLLXhJAvbNYT\n05hqwThKvnsAuamZ0O49Vfc16yTlvViylyz1P0EAVSmo3vmCfrRYEk1zm8C6NAbHL0yh6wY7Nswu\nImCp1c2WVmf9azaQY8A0TWL7n0eQJKSWlhmGUdOt+xD9ATy9vQiCQNOt+4i/+orldC3Kakm+fwgE\ngfAtty73W6hKMqPhUSTu3L2GS2NJEqmCMJfXI3Hzzm5HxnshuMaRi8OO9m0AxHPTAJycOk2nvwOo\nb+Tojl197Lumx5mIitNI5ptWV8zNvdejiDJrgj0MKQH29Gynu3nDrMcxFynlrY6NMvarnzvj8Say\niPlUOiNnXayyKFt9jpwmsIVeCk+f20+7r40Pbryn4vG1vGQ3kkTr/Q8iSKWXrJtW59Lo2JGj6VSO\nVEYjnS2kutq9jw6dHuf5dwYACPkLhbWKLLG+J8y5oWleePcS750c48sf3lmyzXIjeqxzZ86cxpsv\nXA7tvo7Eu+8Qe3E/nu5uPL19Ffe1ao6WbagzMDJpshcukj1/FoDxux6F4YLgTaC7i8z4McyxIaB/\nZQa5wpiGgalpM6P4LquON44O89r7VhR0TuNoDrW6QhPY+o1vqckNDpI89F7Jc0p3D4Is4+npJXzD\nTSWvhXZfB4KId+06RJ8XdWwMI50m9sJ+QjfeiNK2OlTqADJZDb9Xwu+V+fKHdjr3ipMDMdrCXtqa\n5qdOV457dbvMoMkTpjvQyUh6lHafdTHU25spVUmlq/U8aW2mfG9fsJueYDdG1rqZy1L1BVK9ImHT\nb71ppc8FA5CxPNj2e7AjR1ZaXWnkyDampnMJpnMJ0loav2x5OYrzgG3aHnwIyZ/3gkgS2Nu4xpFL\ng2MbRwdPjXPw1DjNoUKkIpbI0dbkY2C0kB4b9JfetuzaxfdOWo6EoYkUW9Y0L/WwqyIUSeKmoscA\nkNta8fStIXdpgPEnn6Dny1+tONeZpom4BMqgtTL99lsk3n4LAKm5GTEUKjGO2rZvZeLIMUglqh3i\nsmfgsceZiJ6i+wtfrEn+2GVliCdzjmE0F++dHMM0zVnFFpz7egOl1enx2IznfP39VeuGBFkmfP0N\nzmO5uQWw0upWE6ZpkspqdLUWIkP2mrJec7+7snKpiE/2YpqWKAMsjZR3JWqtRR5LT8x4zhaSsI2L\nWaMq9kS3yLw6dXQU0evF2LLeec6+YWbyClWSIJNUUxwcOwKAPDqJ990oUpGHfCQ15vytxeMl5+j8\n5Kfxb95SOH6Rx1JYBcXbLi6LwespTZGNJQqL8amENf8U96wojwqVp9GlMqV9z5YbQSq8H3VkxHpO\n8dBytxUdNlKpkobOxRgLbAKbvXSJkR//K7FXXq7oXCknc+Y02tTUjOf1+LTzd/O+20s+W1EU8Ies\nqHhxLdWVRG5okPjRoxjpFNkLF1Z6OC6zcHaocB+dy+m6/4AVlQ7O0mdNFBsvcmS3E2h76MP0fvWv\nab7zLsI33bLCo1o8qmZgGGZJinW9cY0jl4r48oZGRrcurmrNVOtPbSuDzS0bZzznyQtJOLmyNURV\nFpM/bBoGWjyG1NKKUWSkqPdaebnqhGXAGXnRhRMTpwgPxwk8+yd8h0/RedoyiMLD0862AOqotaDy\n9PTS9zffmJGCI8hFi0M3cuTS4My2ILENpXjKWow3hzwEy/pVNAVKvfcnLsac+qWVoueLXyFYVFsk\nKB6UtnbCt+wFCtd4OabJrL1WyskODBB75WVSRw+jjo2RePtNRn/5cwx1pvGiTceZfvMNtKkpxp94\nnOEffG/GNkbO+rx7v/a3+LdsRS5KM/raI1cj+fOpKhWOfyWQPFhIUVKHh2fZspTshQvo09Nzb+hS\nNyanrd+yR5GsqFCViI9W1M7j1qt7qx7PqTlaJZEjLR5n8Fv/RPr0qarbGFlr/SZ6fYg+P6Frd5c4\nbxoVO/W6WJyn3rgrK5eK2FGYTF6cYblSPWr1mt7UvYfPbv84PcEu5zlbZc+uI6olcrQYRQYjmQRd\nR25uRi86ldHVjuj1Ot7VPZ1WSLp5MM7GN84h6Dp+2U/zRAZRM9j4xlmMX/3O6YWijlg33aZ9t1XM\na9dTBa+zoKxcbYWLSz0QBKFEla6YqUQWwzBJpFR6O4J84YM7ZhgP29e3IksiN+7ooq8zyMWRBN/5\n3RGOnptcjuFXRAqHab79A85je7pROqz5Sh0bq7QbxjyawJqaxvjjvybx9pukDr8PgKe3D3V4iOHv\nfofpd95GHRt1FnNjv/wF8ddeqWgUOefPZBBk2ZEj9xV5ZmVJRPF5AcFJXb6S0FMpUieOI9hKqdPx\nOfYo7Df2+K+ZeuH5pRyeS57xWIaJeIZ40rr/toattUyllDnTNLk0Zt1Pd6xvpb25ep2K6KTV1XvE\n80OLxxn5yY8Ye+yXGJkME08+UXVbI2Ndp4LPW3WbRmR0yjL6WkJLl9bq1hy5VMQ2NNKaHTlarrS6\n2qW8m71NjmqdKIiFXk01RI4WbxoVQtaiP4ChFQwW3dARFA9GLsf022+yvqWV29bczLHTTzpnV/wB\nImKIro7dxDgMwMTvf4fS1W2tpAQBpbOr/JQAeLp7yA0NEr75FuRw0yLegYvL6sC+HkVRKFnETCZy\nJNIqpmkSDlR2BLSGvfzVR69Cyjd9fupP5zlxYYqn3zjPLbtWrlmhIAi0P/Io02++gSffNNHTaRmB\ns0WOap1rswMXSxo1Ch4PwWt3kRu8hJHNEn/5ReJA0623IXg8NS3mjXQa0VdYIJZ/5pLPhygK6GXG\nkWGYHDs/yea+ZidN0lBzZM+dw7dxU8N7qw01x+RTvwddp+uue7nw+z+QOnaUlrvvnVOYQZsYB8OY\nV6TJZeE89tJpkmkrtVaRRQL5yLSum8hlP8NioZdwYPaFttNbbYUbIOcGL5XOH6bJ0P/6NoLPR8dH\nP4YUCuWfNkm+dwCwIkeXE3aj1zUd82/uWiuuceRSEa+c97bYUZhVFjmysYUNlKImtk6qXA3drhcV\nOcqnoIgeD2ZR/ZBX9iJ4PWgTE8Rfedka32c/RN/hQQDUHZuQpkXM2BSyZuZHYf1rR43ktnZET+XJ\nuvX+BzFVFaWzsrfdxaXRWN8T5p3jo+za0sHQRIp0VkPVDGKJrJNSV54+V4xdGyMA99+4jhMXrHoa\ne5G0Uvj61+PrL6pHDIUQfX7UsdGK25umOaeDyDQMUkfeZ+q5ZwFo+9BHyJw5jejzlxg2vo2byJw7\nS/zVl6sfS9cdw8U0TYxMGrmp4HApr+8SPB6kCsZR9MIUz7x5gbfCI/z5AxFEQSD2wn5SRw7TfPsH\nCO25btb3tFrRUylSRw6TOnIYbWoSQVFo2bOLgedfwkiniL36MsGrr0Fpa696DG3SimDqyQR6KokU\nCJJ49wDpkyfoeORRV/WuzhRf85H+VjI5695cqTfXQD5qdNXGNq7aOLsSm98rocgiU9Mrm1JqpGeK\nUdm9iVLRo4SvvxGATFG6nei9vCJHdlpdaA6DdjG4aXUuFQnm5ahtKklnLwU1p5SYJkYm4ywk7KhR\n7JWXnDBzLXVSi6o5yqfNCR4PRr7PUUDxc037DsuwKYq/e8YKxc/JrmYERcHM5RDzct/lo/B0VY4a\nAcgtLa5h5HJZ0d8d5i8e3M5t1/Tyqbu28JcPbqc55CGezPGr/dZNvilY241QlkSuy6fpJVdYnKEc\nQRBQOjvRpqZmpKbZ6W9zzYHTb7zuGEZgpdK13ns/zbfdXmIcNd/+Abz5iJXUVDnCrE1OYGTSVo+o\nWAwzl0NuaXVetz9zOzVJ9Hit1gvZXIkH/eKIpV43OZ3lwHErZTB7/hwA6vj47G9oFRN/+SXir76M\nNmUZOO0PfwzJ56P9kY8BVu+qkR/+gNxwdVU02zgCUEdGSRx8j9iL+8ldGnCO61IfiuuKIv2t3LGr\n11Exq1RzNBbLoMgi91y/ds75RRAE2pp8TExnZlW1W2qMzEzjKHzTzQBkTp/GNE1Mw2D6T68DENi+\n87IzjuyG4R556dalrsvCpSIhJVTyeLnS6mo9T+r9Q0w9/yyhba3QWzCObBlaYA6xgsWr1dmLG9Hr\nwdAtT0artwVJlBA8pZORIhUm3rSgOVEhIWUdo7zIU+nqXvC4XFwaEXsBbtMS8nKpSMK7WlpdJQJ5\n0YZkWsU7j/2WA6Wzk+yF8yQPvkf4xkKfEcMxjmafA7PnLKOj9YEPgmEgBQqOrGLjSGpqovWDH0Kb\nnMTT24s2OcHID39QcqzEgXdIHTtK8NrdjkPGk+/NBBD0KXzu/m2OCIYgy4geD7KWJZ3VCfmtOXZi\nOuPsc2kswfWRzoJqaAOl1BlqDnVkBFPX0aenSZ86gRQK0/GJTyGFw4WG3J1deNdvIHvuLGCp/3m6\neyoeU50siO1MPvMHjHTKeWyqq8t4b3RU1TLYN/Y18eDNVh8uu0axUuRoOqXSHPTWvO5oa/IxPJEi\nlszNmK+Wi/LIkdzaSmj3deSGh8meO8vIj3/o9Ef0bdpM6/0PrMQwl5ScZn3PdhuIpcA1jlwqEvYU\njKPV0LG9HLugOfzuCUJyD0p/2wzvnVzFWwrUKoo3K4YTOfKSzCbxUFgI6LHS/gJmkbpTSsghKPmx\nvfBqxWP7t2xd/ABdXBoYX5nE92xpdeUEvNa+ibRK22ozjjqsqFb8tVcIXX+DIxxj+0fmEqszcjlE\nf4BAZPuM10Rfoe+HIIpIfr/TH01uaSWwYyeevjVoU1Ok3j9I6qjVXiD53gH0jZus8ZWliJV3mRcC\nAZSJaVJZzUm7S6RVQgGFZFojk1cKtOuhGsk4mnr2j6SPR0ueC950S8V7SfPtdzBy8QLoOrlLl6oe\nU5ucRJBkTF3DSKeQgiE8fWtIn4hiuMZRXclq1m+veNFsN5kvj/ZouoGq6vhnUcssp73JMojG45kV\nN46abt1HbmiItoc+jCCKNO3dx+iF84XG8fltLkeyqo4ii/NS9pwvrnHkUhGf5EUWZTRDWxaluj+/\nP8JUMjujZ0lV7AUFJoFYGtGA0Z/9pGQTubV6DrHT0K0OaXWqBPFMjA4KC4HAjp3E33gdT2cXuaFB\nfOmCtPAt625BiFnKdEIVaQi7qNLF5Upl27oWTlyMMZ1XnZqrYLqYcD5FZjKeob89MMfWy4u3qAYp\n9tKLNN92O4IkFaXVzVFzpOYQPJUNPtHrJXzjTRXFXARRpPW+ghfZt2EDY7/5tdNQOnPmNGA1f50N\nKRBEHhknnc5Bix/DMEmmNXraA6iaQSaf8uL0W2oA4yh5+H2SB9+bIZTRfOfdVRtgKm3trPn6Nxn+\n0Q/IDQ4y+ouf4Y9sJ3TtLmcbU9PQp+NWA+CBiwAEd+1GkETSJ6Ju5KjO5CqkW9nGkarpmKbpXF92\n3UpgHnLQbU1WZHYinoEVajStJ5MgioSuu6FEkdfT1UX3X3wRTBN1fBxvX19JJHk1MR7L8OrhIe7a\ns2ZGXWMt5FQDzxJGjcCtOXKpgiAITvRIkZbe89re7GNz3zwmm3wam2maCIaJopcuKDw9vXj6+irt\nmacOggz5HgLTZoapXsuzGL7Z6mMSvvEm+v7qb/CutxZC3rTKmlAv/eG1tDd1z+isvlp6J7i4rBa6\nWwN86aEdfPKuLTxwUz/KPPLLO/KSvMMTM/PzVxopEKDlnvsAK2Iz+vOfYmTSTnPJuQL1Rk6dMX8U\n07R3X02RZ++atbQ98EECV11dsr0UnN0xI4eCCJikz18g/vqrJFJZTNMk5FfweaRCj6l8TVIjCA5M\nv/mnGYZR0637CF27a/aWEIBvwyZMXSM3eInU+4ec501dt2qKTBOltZXmO+9Cbm/Hv2Wr04LBNY7q\nSyabN46KFs52dOEnfzzBeycL9W8p2ziaV+TImlfG45k5tlw69OlppECw4u9SbmpCbm7Gv2nTqjSM\nTNPk+QMD/PDpKKcHYjz39sUFHSen6ktuHK3+WctlxQgrQSYzU8umVDcfbK+kiWUcyUVjDO7eQ8sd\nd9Z6pAWPITcwAKLIdEAk1Rbkwsf2su+qQg2BIMtIAUtqUo/HHUU9UVEcz6+8bQsH1/WwdyIMh9yO\n6y4u5fR1BOmbp2SrzyMTDngYmUzNvfEKENixE7mlheTB90ifOE7q+HHk7VcBlSNHucFLpE+fpmnv\nrfnIUX1UmvxbtuLfshU9mcTI5Qhs3zGnMaDko9rGc08yHfSQUD2AQkezj1giRyyRcrzyMEe/uRXG\nyKTRU+kSSfTuv/wS6egxQrtrU9hrunUfoV27GfvNr9ETVqPX3PAQoz/7CUpHBwByRyeha3cRuna3\n9fqQpVxqaq5xVE/eiloGbqW0OoCzQ3F2b7W+k1Qm30jUU/siOxxQUGSRidjK9PkyDQM9laxa37ba\nefPYCAdPFtL+zg5Nl0TzKmEYJmPxDF0tVnqvaZpkVZ3mJexxBK5x5DILoXzkSDVW3wRebBxhmshF\nkaNalFkWK+VtmiaxS+cY8euohnVDvHPDHTO2E/PF0lq+O7rS2YUgy/g2bkYdHYUbr4ahF9H8l5ea\njIvLStPR7GNgIkUqo83LO7wcCKKId81aBFkmfeI42uQk+rmzrD93ALnjphnbj/7iZ4AlDY5pVpX5\nXyhSMEjHI4/WtK03bN0XNN1keCLN8YPnoGsL67pCXMwLaHzrt4f5RH57uyn3amPqhf1OHxib9kce\nRW5udtS/akEQBKRQCCkcRpsYx8jlSEetuiV1bAxBUQhs21a6jxM50mYcz2Xh2KILOzYUFBeL61LG\nYoWIz+S0ZeC0hGq/9wqCQMivkMquzJpIn562RFhC4RU5/2IYmkjx2vtDBHyyY5iapsmFkQT93dXf\nz9NvXiB6fpK9V/fQ1xEk4JUxDJPm4NKumVbXHcNlVeGXrbCsZuhzbLkC5FM27LQ6ucjGEWZJOSls\nZP2z0Pu2kU4xnBgmFm7m3Lh1I2z2zkwLtJWkbIGG0O49AHi6u2n/yEcZTlqeLsM1jlxc6kpnq5+B\niRQnB6a4dnNHzfvFkzlePzJMKqOyc0Mb29a1zNhmcDxJS8iLfx71CpWwZbOT7x1AP/AOHePT6xej\nEAAAIABJREFUcCYId+10tinuiZTLp37VNMctEd5mayGTyWnkVJ0m2WDPzf30tgfx54UwRL1o0a8v\n//3D1HWmnn8W38ZNeNeuQ5+OO0IYpmmix+MzDKPQddeX9KSaL3I4TBaIv/ISUlPhXtDxsY+XCGVA\nwThKHT1M8JprGyL1sBFQNQNJEh11RSiNHCXTquMsGc8bSnYKbq0oskRiBfqnmYZB6qjVMN7T03iR\nozOXrCbUd1+3lqGJFGcHpxmLpec0jqLnLbn7194vFdya7/c2X9wr0qUqHmnlbsBzURw5Ek0T2SiK\nHFUpVi5l4VLeOV3l3w79hg5AzXukvZIHnzTTwBHzaXV2b4Lym6AdwdKKihJbH3xo3mNycXEp5ZpN\n7Ry7EOOVQ0Ns6muuufD3lUODHM83kR2PZdi6trkk7WM6lePnz50k5Ff48od3VjtMTYheL3JLC9rU\nlDMTSWppyo6tKAeQOXUSoKogw3LgzxtHubxs8lo5S6TfMvJsQZ2m+LCzvanP3wOVOXMaPZUieNXV\ns26nxePkBi4S2GF9D9rUJIl33raiN8ejpI4cRgqF0BMJer74FZLvH2T67bcc5xpYBmr4lr34N2+Z\n9ziLUbp74P1DJA8dxLt+AwBtH/4onp7eGdsKsvX9qWNjJN8/5DjNXBaHqhkzahOlMkWzsViafl/Y\naS493/QsRRZRNaNqOlg6q7H/wACqZnD7rr66qdrF9j9H8v1DCIqCb9PmuhxzORmcsKLKaztDbF7T\nTGRdCz965jiqNvv8IIoChmFy1cY2Dp8pyOLb4hhLxepNBnZZcUKKtbD3yasvqmGWCTJIRapzS+1V\nHUmNMh2z8ma1vIeqxdtccaIUA2VKWWXKTaJgPTZ8hc84sC1Sz+G6uFyRhPwKd9+wjpyql9xU5xI/\nsdNtdmxoI5FWGRhLYpomj798hmffvsjolOVxTqRVnnj1LNoCFv/FKPn6Aandim6JRZF60zTJnD1r\nvd7UTG7Qkowul9teTnxNYSznkvU5eiaGnZqd9XkPcEus4OU1yzIP1NFRRn/1C3JDg+SGhoi9/GJJ\nzY86Ps74E48z9ewzc35Xw//yXSaf+YMTXZt++y2S7x8qkePWE1aD2rHf/JrpN9+w0pKCIeT2DsRA\ngNb7HySwLbJoyXHfxo3O33b/I7mK8p8cLnjK0yeiM143MhlSR49gGqszJXG1Usk4Kpd7tiNGmayO\nokhOk9hasZXwql33JwdiHL8wxZnBOD98euZ3u1Byo6MgSXR97i+q/q5WM+OxDOGgB2++xkvJ14Xl\nZjGONN3AMEzWdYe594Z17L26EDFrdyNHLivF5uYNxHr2sKl5w0oPZQZmvp9BQAmAadLlKch22ykL\ns2GLTCwkH34qG0PJaASVgBM5avZW7qlkiS94MXPWgqs8ciQJ+e7dInR8/JNOpMnFxWXxRNZbEY2R\nKStym8qo/OvTx7lmUxu3Xl3q0T8zGCeT1Yglc7Q1+dje38LRsxOcGoiRyemcHbTSQo6cLRhapwdi\nRM9PcdXG6m0D5qJ53+0IkoyxfgscOYNQtCBWR4bRJifwb91G+OZbGP3ZTxAUBX+FHkfLhRQKIomC\nU98hmgbZSwP4+tezbV0LT716hrbECNi1n2VpdWOP/xojlWL05z91nhM9Xrz9/YiBIMn3DzrPm7kc\nQoUa0uyFC6SOH3OaQ2lxK23ONrJC199Q2hAc0CYnkMJNtD30Iaegfa5i8PkgBYL0fePvGP3Zj1FH\nrPTHavWvUjhMz1f+ionf/47c4CX0RMJp32BqGkPf+w6mqiL6fPjy/adc5kbVjRn1heXGzzsnRtm9\ntYOMqs1LjMFGzhtHOc1AkWfuPzpVUMg0DJM3j42wZ2vHrG1KpqazqJpe8Xg2ZjaD5PPP3r9xlZLK\naKQyGht7C2NX8p+HqlVPu7V7ptnfU7HsetMS969zI0cuVREEgeu7d9Pqm5lzv+Lkb7htvlZ2t19F\nr7fgSa0lf3sxegyxXBwlo+KRPKj5yFE14wgo6WAvSJXT6nTTwLtmLUprKy4uLvUh5Ffwewv1BZPT\nWTJZjTePjpR4flMZjSdeOcvTb14gp+o0Bz30dQSRJJF3T4zxb6+fc7Y1DGtB/el7LPnrg6fGFyXF\nL4VCtN57H3pHN4YgIlNYLKSOWCl1gR07Udra6f78F+j+/BdK5pTlRvT5kaR8Y01BRBIFEgfecV7v\nI4GkqU5qWXFanWmaGKmZCoLqxDijP/8pIz/8F0uoJo+Rm6kKZuRyjD32S1KH33ee0+NxTNN0es+F\nbywIKnR+6jP4Nm3Gt2EjXX/++RKlr3o3OBcEAf+WgvjCbHLKUiBgSaibJunTp5zn46+94kh820I+\nLrWRU/WSHkdgKczZKLJIIqVyejBOJqsvyDiyI1PV0sGKjSOAVw8Ncn44UfV4ibTKf//5AR576cys\n5zUyWQTf6svimQtVM/jRM8cBqw7UxqPM/jmOTKX50xErPddWHyyW7673tVuOGzlyaUjsmiMBCIi+\nEu9kTReNUGgiO1+yWhYlo6GIsmMcdfqrp7nIbW1WvwtALJvcpHxa3WpVdHJxaWQEQcDvlZ2eJppe\nuN7H4xm6Wy0jI5lRMU2TtV2hfE58E7IksqmviRMXpmgJe7kh0kVPW4AX37vEmo4gPW0B1veEOTc0\nzXRKpSm4uHTeTE7HECXk/FygJ5OkoseQgiGncexqaA4tiKJTxxFr7qFfmiZ77izq2ChKRyfBmLWg\n8W/ebKWXFaXVqXkJ63LsNDhT09DGC1K/ZjYLRbXaejpN8tB7M/aPvbif7IXzluElSQiKQut9D5A+\ndRKlq4v2Dz+82LddM8UpT3M56mwDUh0eAnaROPBOiaFpJJNLMcTLEt2wUrDK0+qKa37uv7GfJ187\ny3NvD6DpBj7P/JfASlHkqBzDNB1HTDHZXHVVwqmE5QAYHKv+XZumiZHNILctPEK9EhimyW9fOUMq\nYxn7PW0Fp44kCgiCUDWt7olXzpBIWfsl8wIY4hIbRMW4xpFLQ2LquhX+MU0wDYziZnrzuIAW4vHN\nGSpKRkURw05aXXegs+r2bQ8+RPbiRUxVRWkvVc0qjhy5uLjUH0UWUZPW9aUVpayNTKYd48juy7Om\nM8jNO7udbT54cz8f2N1HwCs71+pHbyvUlnS2+PPGUa4uxpEpSshYY0wdO4KZyxK87vpV1ytIzI9H\nVXwEd6wjd/wo6sQESkcn3oQlZuHpXQMUieeYJrGXXgSg/eFH8PStYfCf/2HGsY1stujvXMlrU88+\nQ6YoygI4gguZM6etx8EQgiAQ2LHTEWpYTsQ5mugWI4XyffDy0bTYSy+UvD799puEb9m75F7yRuf8\n8DQXR63ojFKWvtYUsK7LjmY/W9Y2s319K8fOWc7KwALUJj2zRI5iiRyqZrB9fStrO0P88S2rd2FG\nta6BVEbl1y+epr87zB27rCb1hjH3GsTM5SwJ/1XY2HU2xmIZLo4kaA17uWpjO+t7Cp4OQRDwKGLF\nz1HTDccwAtieT4/e2Bfm2i0di0pjrpVlMY4ikYgI/COwC8gCX4lGoyeLXv8M8HeABhwC/iYajRqR\nSOQdIJ7f7Ew0Gv3icozXZfVj6jqC4sHMZUmfPFGi+2833puVRdxscrpKMKOheLx86qpPkNWz+OTq\nk5Ygy/g2bKj4msjCI1guLi5zo8gium6gGwaaVmoc2RRy22emvRbLApcTzi+8plOLl/bN5DQMQULK\nO0qMpLVgtqMLqwnR54V0DtHQCW2PMHH8KPqUZRR509OoihcpaBmepq5jahqX/vF/AODfGsG3YWPJ\n8cK37GX69decx4EdOy1BgqK0uqn9z5E5fQq5pRW5rc0xksRA0BFdgJWPrnl6e2nau2/Ge6yEqHgQ\nFAUjlarsqDMMchcv4l23bglGevnw2Iunnb+9ZdewKAp89eGrkPOpoBt7mzh2bhJFFrkuUt2pWQ1P\nvi4oWUHO+9DpccBymly1sY3moIdfvXDKmV+OnptiPJZhPJZxjCP7tdkw0tZcVUsPx9WEbeDs3NDG\n9RU+a0USnZojwzBJZFSaAh6GJqy5b8f6Vu65Ya1TNyaJInftWbMsY1+uyNEjgC8aje6NRCK3AP8V\n+ChAJBLxA/8ZuCYajaYikchPgA9HIpGnASEajd65TGN0aSR0HdGjoOdvnol3rVSEzs98bkZPiUrY\nnriFRY5ytGY15Nbwouux7DCx4UaOXFyWBNvTm83pJWl1dm2AaZpk8mkv/nnWINj1DNOz9D0xTZOL\no0km4hn6u8NVpX0zOR1TEJAyKYxs1pH/F/1zz2fLjeQPwuQ0spZDbrbmQC1u+TFFXUOXlIIyp2GQ\nGy6o1zXddpvzd89X/so6XiBA8t13MTJpvOv68fT2kTp6xIkiGZkMyYNWOp13XT/e/n4yp0+hdHSW\nRFWUjg6a9hWOvxIIgkD4xpmNfKsh+gOWcVSk2Nf64EOYuRxTz/2RzLkzrnE0D9oqXF/F/ci2rm3G\nd8cmetoCJTUstdLfE+aVQ4O8c3x0hsz/geNWvVxni3XN2spsqYyGqum8fPCSs+3hMxOIolDRyCon\nO3ARqNHxu4pIpPM1gFXEExRZZHI6y9Fzkzz9xnkAPnnXFn61/5Tz+nzVBOvFchlHtwFPAUSj0dcj\nkcgNRa9lgVuj0ahdpSkDGawoUyBvJMnAf4xGo68v03hdVjmmriP6y6I1orgAidv5G0dqLouSs+Rg\nF4sj5e0aRy4uS0N+8fLtJ46UpHWMTqXRDYOn37jg9DWabw1CON87KZHKVd3m5UODvBMtiAzcd+M6\ndm6YmRaSzGj4sgnEcIipZ58hffIEwMx5bhXgufUOzF/+gsGebY44hJG2buGCoWMoXkd8xtQ0tHxU\nKXzzLcjhgnhNsbCEbQx6129w6nbUsVFSR02yF8472yldXfg2bab1vgfwrt/AxJO/tfZbu46ORz+x\nVG95yZACAXJDgyTefhMAf2Q7gW0RJxqmu6IMc9Ic8hLL1+7MJfEsCMKsTUfnoqvFz8a+Js5cihNL\n5mgJWcZYsaN1bWe+DUreOHr/9DjTZXOEnXIH4JkjvS83aNXqeRfRpHglsJvlBqv0mGsJeZmczjqG\nEcAvnneSyti6duXEwJbLOGoCYkWP9UgkIkejUS0ajRrAMEAkEvkGEAKeAa4G/i/gO8BW4N8ikUgk\nGo1WrWxrbQ0gzyKF6GJdwJNvvU1oy2Y8dVBG6+xc+CSzGCa8EnLQRzZV+Al72trp6qntYhrwexBF\nkVDQO+/3oOg5FFmiqbt90e9f1VU8Xhl/wLNin+Vqwv0MXOqNKInO4mNwMo3HKxMOeJhO5cgaAmdH\nEs7rfb1NdHbU7vQIN/nxeGV0Qaz62x2ayuDxynS2+BmdSvPCwUF27+ihOVTq4VYN8IgiwYCCfuGM\nM6au3rZVV3PSdv+NPOFv496OEF1r2pkI+PCaKh0dIRTBQFAUurqbmQj68EigTI7g8cr0XrudQJXP\naTwUwFBzdG/bgK+vl/jvFXKH38NeUga7Omi76QbabrrR+jy6LEU6376bufTE7+jdewMtyzR/1HOe\nEnZfzcjzo2TfexuPV6a5s4XOzjBmR4hJvxePnqWjPUjq/AUroqiphLdtQ6yhZcWVgiiJNDf5uOeG\nfvZEOpf8eolsbGdgPIUpSc5vIafqeLwyW9e20NVlOQDadIPWFj/JtOrMPeV4FYlsft/i35Wp6yTP\nncfT0kJSTaF5FXo2r22o713xjuHxyqzpbaazdabC5n17N/D9J4/MeH7v1b3cfcM6pFnkz5ea5TKO\n4pRoziAWGzn5mqT/AmwDPh6NRs1IJHIcOBmNRk3geCQSGQd6gQtUYXJypkSoSynqxAQjv/09od3X\n0XzHBxZ1rM7OMKOjK+PVyqRVZEVDzRZsZdEfqnk86YyKYRgkEul5vQfTNEnHE5gGpDRh0e9fMzRy\nWY1kMrtin+VqYSV/Ty6XJ52dYSZjaXJZjVBAcXLg27tCjE+m+PZjB0u2TyeyjM431dYwOX1hkqde\nPs112zpKFma6YTA0mqCr1c8tO7qcdJHn3zjHvmtK+yxdGonT1bkeTR0veX5srLoM8EqyLy9cMTaW\nQBMVEhMxRoem0HUD1bDmxhwSmXMX4Jx1246pEskq13jTw4+SvXiRZLCNVDyHGW5GHbOU60S/n7aH\nH8UIBGd+Hn0bafvsF1DDyzN/1HueMrdehWdo3EkNT6R15/iax0fs9Dne+9/+84z9Wu9/EO/adU6N\nVfr0KfREguBVVy+6oW2jMZ3I0t7sY127f1muF8k0yWU1Tp2boNVvLaMTaZVcViOX00p+H5+7ZwuX\nxlL8+gXr2r/3xnX88U3revB5Zb70we08+afznLowxchI3Jk/4n96jek/FSVLSRLjUxmsxKrGYHLK\nmnvjsTRChX5Gatb6zACu3dzOwVPW3Ld7UxsTE0uv1Dibk2O5zLJXgIcA8jVHh8pe/5+AD3ikKL3u\nS1i1SUQikT6s6FNlHVCXeWDd+E29urRkQ2AaUNb5Wm6dj4KJXXM0v9Nm9SyGqiIJUk39lGrHFWRw\ncVkKsvmC53VdhRthX0flZst+7/wXlWs6g6SzGi8fvMRomYxvIq1hGCYtIS9rO0N88aEd+Lwy75+Z\nQNMNhidT/OqFU0zEM8STKoldt9L5yU87+7d98MPzHs9KIAYC6PE4hqoiAIZofY6ip1TBb7YUQaWj\nk9DuPc7i0NNTMB57vvxVpFkaZEvhxo04C4JA8x0foPW+BxA8Xrx9fc5rTTfdUio21NXl/D359FMM\nfe87JA6+h2maTPzut8T2P8fg//xH0ieOL+t7WEl0w0DTjRkS3ktJV76maHC8sIC3VdfKxyGJIuu6\nQnz14av41N1bWF+U0mc3RfUoEqZplvRey54r9FZDFPFv2lL397HU2O9HkSpH8kJ5sZuAT1lUquNS\nsFyRo8eA+yKRyKtYq9IvRiKRz2Kl0L0FfBl4CXguEokA/L/A/wK+H4lEXsZaOX5ptpQ6l9qwJWFN\nY3lqXExdZ/KZP+DfvAX/1m1z7zAfhNJJSJlHD4CF9oCNZeOIuoksynUxjgTbSFv0kVxcXCpx+64+\n/u31c+zZ2sHRsxNAab+NYmbrYl+Nj9y6gYOnxtl/YIBLo0ln4QSF/iZ2QXhT0MM1m9p48+gI//Dr\ngo/wneOjmKZlRHl6++j63OfRJibxb9067/GsBEpbG+rIMNNv/gkoGEeCpzR1UFRqlztXOguGwGqT\nMl8KAjt24t++oyTyaD83/cbr6LEYLfc9wNSzf8TIpJGCQZKHDhLb/xz6dNzZx9Q0pt95G9+Wrasu\nHXMpyKnWWmYh4goLpSnoIRz0MDCWxDBNREFAzRsC5U1obfxeGb9XLqlNshuh2vNDJqejyPa1U0if\n6/va3y5KYXelsNVBq82roijw5Q/vRJFFLs3S52klWBbjKF9X9NdlTx8r+rvazPfZpRnRFYxtUBgG\n2tQUejKJd039pRG1WIz0yeOI/gDp41HSx6OsqadxZJqUTxULiRwxTyGEeG4awTDyxtGVlbrg4tKI\nbFvXwrZ1ZbWIAtyxq49zw9Ns6mvi+XcGrKcXsAARBIENeaGHgbEEu7cWFKWyzsKtcIu7emM7bx4d\nKTmGLSveErKMB6W9Y0ZPtNVM0623kT59iuS7BwDQ8/eZxTQx9eTvS75Nmxc/wAah0u9PEASabt7r\nPG699z7nb7mlldhLL5B4+y3AkknXE3Fyg4OkjhwmeNXVJccyDYN09Bh6KkXouusvC+NpYtoSYqhm\nlCwV67pCHDkzwdhUmq7WALl8LyPPHOuC4s/cbqZsG0fpnE4477cR5IJx1KhpkrbBKM/y3YTyYg0L\ncUwtJW4T2CuM4sjR8A++B0Df179Z14vPNE3Gn3gcbWJ87o0XcY5yT4o8H4GJ/HVYLWJjqCrqyDDe\nNWtLnk9rmXzkSHLUmOrCAiTFXVxc5sef3buVs4PTdLX46W4NsGdbJ5mcxvPvDLC2a+Hqk01BD6GA\nwsmLMYYmUgyMJrl2c5uT0udT5JJt13aFuDiSoKPZz1gs7ciKt4Qaq4+JjRQKEbzmWmuRLggYovV+\n9cTCa3OUtna6Pv8Fp1Gqy0xCe64DSSS2/3nASi9s2ruXkR//0JIBP3Oa5g/c6SgETvz+d05/KN/6\n9Sgd8+/zs9o4edFSQlzutKy1nZZxdGEkSVdroGpaXSWCfoVkWiWdsSLLgXwz+Uy+/sbUNEelsPsL\nX16K4S8Lmm4gSaLTsmQ21nYGufWaXjb1Ns257XKwukw1l6VHLESObIxcdRna+ZIbGmToW/800zAS\nhJI+Dosmbxy1P/wxwOqKPp8GaYITOapslMSef5axX/2C1PFoyfM5Q0U0DAREhDqoxjj9lhZ9JBcX\nl7nobg1w887uEu+tzyPz1x+9mof3bVjwcQVB4MbtlkDBz549wcsHL/HG0RGyeW+yVym91T5y+0a+\n/ug1fOru0qiIHTlqREK79jh/KzmrdNi/LQJA8OpraP/IR+d9TKW1dV6peFciwZ1XI+Yl0f1btiC3\ntNJy972IPj+Z06dIHbXUwNTJSccwAsgND6/IeOuNLRe9fpmNo3V5Z8qlvADEfIyj5vx1bkdWAvna\nm3RWQ52YYPhfvoc6OoLc2orctDqMhYWgaabTfHcurDm0a04p9uXCNY6uNPLGkd2wD8DMZqttPW8m\nn3naadxXEskxTUxt8V3ki4+HIKB0WwsSeR71RoATdTKqGEfZC5aaTPbc2ZLnc3oOQbdyjBs11O3i\n4lKK1yM5uf4LZeeGVnxFUr05zSCTjxx5yprLSqKILIkoslRSK1Eu791ISKEQ3v5+AHwZK52u5Z77\n6P7LL9Fy9734Nm5ayeFdtgiyTNeffY72Rx51RCwC23fQ/fm/ACB38SKmYTDyr98HLEMVYOrZZ5z7\nXCOTTGuIorAgMZXFEPIryLLIdF4BM52P+vhqaCT9wE39rO8Jc9u1lviGk1aX1UkdPYyeTBC8Zhcd\nH//UEo1+eVB1HWWVpcvVSmOO2mXB2Gl16mgh572ekSMpbHlT/Fu30fGJT9Px8U/i32IVFZt6HUUg\n8saR5PfTfPsdhItysmuh4MuobByJeXlUPVkqC5rVc4i6gSiIdVarc3FxaWRkSeRDewtNGpuDHqcO\nwTtLsXgwn1ITDnhm3a4RaLnzHnRfkPPrrsE0TURFcRq6uiwdUiiEr6xBqOjz4+ntJXvxAiM/+oHz\nvK9I9WzssV+SPHJ42cZZiXgyx6WxJN964jDvnRyb9/6JjErAJ69I/VTAK5PKG0WpfIpctYanxTQF\nPDxy+yaag1YEqa3JipaMxdKoo1bD6KZb95U0SW5EVM2ctd5oNdOYo3ZZOLb8dVFaXT0jR6Lfupib\nb7sDye+3anbsCEudFPJstRd7Mgztub5E/rQm5phIpaCV566XFRSruopomHnjqA5pdY5anZtY5+LS\n6KztDHHTjm7nsZ1W55vF6LFTazpb/VW3aRTklhYGbv0I0+HGr2W5HPBvtdIatclJ5zm5pZnwzXtR\nOrsQvV5iL75QoqC23Hzv90f5xfMnSWc09h8YcCIwtWCaJsm0StC3Mo1RAz6ZdFazxpGxIkgLGUt3\nWwCvR+LiaBJtYgIpFJ5XmcBqRdONVSe0UCuNOWqXBSMIM79yQ61f5AjdWgwIRQXIjghEvSbguhxn\n9pojJ2XOKH09a+QQdMNKq3PV6lxcXMro7bAcRIZhOml13llSbZzGtE2NvxgqxnX3rDzlSn9ySytS\nUzNNN99C12c+h9LTi5nLYqp1THlfJP/y1LG5N8qTyekYhllTtGYpCHhlDMPkp8+e5PCZCee5+SKK\nAn0dQeLxNNl4HKmB64yK0Q3TUeRrNNy8oCuNCnUytUaOTNMk/urL+DZurhqpcUQXis/jiEDM7JC8\nIGyDZlEX3RydjqqcI6fnUAwr4lOXPkeXgZSqi4tLASk/3+mGWVNa3QM39fPmsRF2b2kc6e7ZcERm\nKiiKuiwvclMTPV/6d4h+v9X+ouyeZadtGakUmCbq2OgMhdblxlZ4rIVkXowh5FuZpWxTPi1uZNIS\nIGkNe0tk+2fDyGYZf/wxAjt30nnXPtZ2hhg4M0QmqxHONzW+OJog6FNoDTem48QwTETXOHJpBARB\nsG5YRRETo0bjSB0bJfH2WyTefos13/z7itvYxlGxzHXdG886Y1/4ReeYRlVto9LUPfu5qWyMfsGa\nEOtZc7SSaQ0uLi71w14M6IZBRtURBGFWBavt61vZvn4ebQhWOXPNrS7LixSqLlEvBqz08cmnn0Lw\nesmeO0vHxz6Bp68PI5tBCiy9jLogCAu+/yXnUeezFOzY0MZ7J8fZvr6Vbeua6WoJ1OzwTB05TG5o\n0Ppv107WdgY5kEuRyenI4SY03eBX+y11wW9+4loM03QcL/PBbi2QzKgEvDLXRzqXxSlrmqZVd9ig\nDhLXOLoSKZuIzFoFGWqYv0xdB1Es7WheQT58MTgT6SIuOsH2ZlRrAlvBAEuoSXK6SpMmA7ojn7pY\nGnTucHFxqYCdRqLpJllVx+uRrqgI8RX0VhseO3KUGxp0nou98hKmpqFNjBPYvpOWu+/ByGRmNbIW\nQ9AvO6mlQIni41wsps6nHnS1+PnCB7cTCijzNgKKP/OT//hP+G7ah6LnyGkGYiDgSJQD/P71c5wd\nmuZTd20hlsixeU1TTXOKYZg8/vIZp38SWNGuGU2xlwBnBdWg84Fbc3QFY+e1GrkaBRmqGRLFm2ja\nDIlru86pftGRfFRnAV6Ucqq+owppdeMZK6c4qAogio74RD1wBRlcXC4P7MjRgeOjTMQyM3ocXSm4\nkaPVj3/LVrxr15U8p44MO30KU8eOcOmf/4Gh736b9InjSzOIot/JbLV5lbANiKB/5fz8TUHPgqIj\n2uQEgqI4n//0Sy/QRBZNt4yjeLLgtD55MYamGfz4meM8+dpZzg7V1lx5cCJFJquxZW0JYTFXAAAg\nAElEQVQzH9i9BoBTl2LzHutCqJR900hcmbO2CwBS2DaOaoscmdrcucCmrs9MN7ONmHpJeRv1E2Q4\nPnlqjs0Kl8h42lL88eVMpECwjhd9Y04eLi4uM5HLcuw7WxpfhW4+FBaKrnW02pHCYToe/QR93/g7\nuj7/Bdo++CEQBIJXX2OJOYii069w4t+eZPyJx+tuJBkmhAIKX3xoBy0hL5pW+zrBSatbocjRYtBi\nMeSWVto+/DCeFuszXnPxMLpugtdL9MIUANv6W+huK3XETsRrc2ifG7L6WW5f38quLe34vDLHz0/x\n5Gtn56UKuBDsRKEGLTly0+quZORwmBzzEGSo0MTV1DQMVUXy+53HxfVGsAQ1R86BF37VGfmYkaZX\nVumxx1p8hvHMBJgmSlZDal76XGwXF5fGo9hpcvf1a7lqwzwbVF8muJGjxkEQBJTWVpTWVnrXrUP0\nlRr0oz//KbmhQTJnTqPFYvi3bqvbuU1MFFmmKehBkUU03cA0zZqcj6kVTqtbDLYjWfR46LjtVhK/\nehxFEsmi8fTBMc5lFNqbfdy9Zy2yLPD//eqQs+/LBy9hmiY3bO+acVxV00lldZqDHi6NpRAEgf6u\nEIIg0Nce4PSlOCcvxtjU28SOJZyb7MhRo9YcuZGjK5j5R460GX+PP/kEQ9/+Z/R0GtM00eOxmRLX\nc9X3zBf7OIu46LxSXlRhrnMUp9WlJ/AJCrIpIPh8Cz53OQKCm1bn4nKZUCxdu3Vtc8OqNS0Ue1p2\njaPGpNwwAmjau4/AVVeDJKFNjJM8/H7dzlcsamj3xNFqzDJJpFVEUcDvbay2GqZhgGE4JQihrVus\nFMd8WuHAtE5nq5+Pf2AzXo9UUYjhlUODXBor7cN44MQo3/v9MX7w1DFiiSwT8Uze6LSOe/uuPjb2\nWeu+VNbKBEqk1XkpBNaK4aTV1f3Qy4JrHF3BiMEgiGLtkSO9cAGp41Yn6+y5swAYiQTpY0cB0Kam\nyk5Ub0EG69/FpLWFPGGkCj2fHOzUPcGW5dWJ5eK0SVZRqujxLPjc5QjgZqC4uFwmFBtDs6nUXbbY\nUt7upHbZ4F23jtZ77iMQ2QFA5vQc6ejzwDRNxLybUpasf1Wttt9OMq0R9CmNV9dir4XyxpEcDNL2\n0Idp/twXOL7lVjTFx5271+CvIE5x342FGrHnDww4RsjZoTgvvnuJdFbDMEy+/2/HSGc12or6p7WE\nvNyYjzalsxqJtMr3fn+U//XkEd47OcbIVLpub9Ep225Q59AVOHO72Ig+H6LHU3MT2OJGcbnBwdLX\ndK1EfaWYJZPyXsyEKIAiecAEo0JEyxlr/lxZPYtpQoh8xEmpn3Hk4uJy+VAcOVqI9G6j40p5X760\n3HU3AEYmU7djGobp3MqVeUSOTNMkmVFXVIxhodiO5nLxqpbONqabLOPF7qFkc8fuPrata2HH+lb+\n/Sd3sWNDG2NTaY6dm0Q3DB5/6QwAW9Y2O/t0tvrZs7Wz5Di2wTUwlmByOothmKiawf4DA/zkmeM8\n8cqZmiN3s2G4ggwujYro8VpRnRqNFlMvpNXlhgZLIklGNms1moOZ+chCfSNH9ehzVLx3JeOIMuMo\nrVnRNZ9uvZd6Ro4Q3LQ6F5fLhUbtCF8vGnQt5FIDgiQhNTWhx+PoqSTqxMSij2maheiCLNduHGVy\nOoZhNmy9Ecw0jorTAwNljW33bO3kg7esd4yNm3ZYRtSZwThT07mS7SRJ5LpIJ5+9dxvrukol2AN5\n42hoPMXpvHLdrq0dTv3R6Utx3j9dn+8VGnc+aDyT26VuiD4vgijWHNEpVqvLDQ2hxuOF13I5p3Yp\ndMONJfstXeRocYcR8geoHDnSS86V1S3jyGtak5fgrXNanYuLy2VBo6aR1At78eZGji5PlI5OMqdP\nMfSdbwHQ9/VvYho64gKzKQxzZuRIrUGxLunIeDeecYTtWC6LLAuCQGvYa/U6msOqaA56CAc9nL5U\nMI4i/a30dQT5649eVdVJ41Ek+jqCXBpL8u4JqzxifXeYjb1NbO9v4TcvneGNY8NE+lsqpvXVimG4\nggwuDYpgR45m8dKYhoGRT6dz1OokCT0eIz1wydnOyGad2iXR4y09iFNzVKe7ZT2awCI4N3F9lsiR\nrbiS0a00Ao9u7VPXyJGLi8tlw5UeOSrgWkeXI6Fde0oex155icF//kdSx46y/90Bnn374ryOZwky\nlEaO1BoiRwlHqa7xfPyFyNHMsf/5/RG+9NCOOY8hCAL3Xr8WgLFYmqBf4dZregBL2GK2dLZP3LmZ\ndd1h53E4YBmY/d1hbr26h3RG41u/PczRswuPIDV6n6PG+1W51A3Rm48c6dX17kd+9AO0yUnWfPPv\nHePHv3ET6ZMnGPjN4852qSOHHSEG0VtqHDmRozqp1dXloivqxaGbM5VaTL1KWp1h7SeUG4CLwk2r\nc3G5XGjUxUC9sN9+vXxhLqsLz9q1iP4ARjoFQPLdAwDEX32F98JW1sg9+UV7rdhXzHxqjpweRw0Y\nObIzUwRpZnxiPpHn/u4wX/7QDrKqQXPQU/O+giDw8L4NXBhJkFN1OpoLCoXXbevk3PA0F0cSvHp4\niJ72IOGA4igJ1op9/Teqr8iNHF3BiF4viFIhhawC2qTV+NQ0TUehrvnOu/D09JZslxsaxMhYSidC\neVSlzmp19UpmFQQBoYoggyPlnf9XN6yJWExa71EKBGbus9Bx1O1ILi4uq4FdWzu4c8+alR7GiiC4\nM9pljSAItD/8UQSl1ChRp6fxZhIAxFM1ijyZZklPI0fKuwa1OjutLtTANUdIi5cgD/gUWsPeeafz\nypLIxt4mIv2tJc+LosCjd2xi05pmEimVHzx1jGfeujDvcTV65Mg1jq5ApCZL516QZQRRqM1o0XXU\nkVHklhakQBD/tkjFzeT2DidSZLN0NUeL+PkKc9Qc5eurzLz7w5mqJ6wCRqWjc8Y+i8L1srq4XDbc\nuXsNu7Z0rPQwVhTTLTq6bPF099D71a/Rcs999H7t6zTf/gF03cCftuqQv/fkUVRt7t455X5OWc5L\nedcQOYonLQOsEdPqqCLIsFoQBIEP7Opjx4Y2PIrEwGhyxjZnh+L8+sXTTE5XbgXj1Bw1aOjINY6u\nQLr//C/p/au/sR7UKMigTU1iZNIonZZCiqev4BUV/VYUxb8tQteffXbmzk6eRZ2MI+ohyCA4xpFe\nIXLmpACatnGUP+fklCWBHgrN2GcxuGl1Li4ulwNOE9iVHYbLEiNIEsGrrkZUPIjBIJpuomiFhfLB\nU3PXq5TLPdeaVmeYJhdGEiiKRFtT/RqyLxd22r4grk7jCCwp8ftvXMeaziDJtMp0UTTwwkiCx186\nw4Xhad48Olxxf/sbbNDAkVtzdCUiyDKCbH31giDWlBw++stfAKB0djr/Sn4/ctCDmVepE2S5siek\nzpGjejSBhULkqFLNEWU1R5gmomZAfBq5f0t9Q8WNOnu4uLi4lCG41tEVhxQIoBkGilrof/TywUtk\nchr7rumtup9ZVpfiSHnPoVb36xdOE0/m2LK2uSEjE3ad92qNHBWzsbeJM5fiHD03yfqeMAdPjnOk\nSKghkalcs25eiWp1kUhEiEQim+o9GJcVQBRrEkowc1n8W7cR2HEVYN0At37j63R++jNFrsLKd0Oh\n7jVH+eMs9qITmLMJrP3ZGJh4pzNg1j+lLj8MFxcXl8sGd067chAD+chR3jj6wO41NIe8vHVshFiy\nev2RnXoplkWO5kqrm4hb57l5R/eix74i2GuheYocrARb1lhNZf90ZJif/vEER85OEA56+LN7tqLI\nIplsZeOoEBWsfmzDNHjy9NMcGDlU93EvlpoiR5FI5BvA/wEEi54+C2xegjG5LCf5JrDFRZE25Tnj\nrQ8+VLKN6PEgKkpRS/RZzgEFo2axOOdZjFqdHTkyq0h5l/Y5Mk0Tf35CVjrqW0sguOaRi4vLZULB\nV+bOaVcKUiiErht4cmk+fudm1naGSKRV3o6OkMqoNAcrt76YUXNUY58jSRRoDnnoaPHPut1qZTYp\n79WG3yvTGvaW1BZdu6md7rYAPq9MOlclcuREBauv0w6OHub89ADnpwfY03VNXce9WGo1W/8DsAv4\nGZZB9GXg9aUalMvy4UhJVojqmFrhRy96vbOkks1uHZULMqRPnWTs8ccKii3zxTZmFhVOL2gqzRY5\nKqQcmvinM4BQd+PIxcXF5XKhMZNoXBaD6PGQlbx4swm68gaLz2OljGXVmff5o+cmmYhnZtQcOWl1\nc0SOVN1AaYCUtGqYVZrArlYeuLmfD926wXnc323VXPs9Mpls5XWcYc6dVnd86nT9Bllnav1mRqLR\n6BngIHBNNBr9PlBZrsylsRCq1wOZ+eavAMjVPRyCaHdEr+IpLGsCO/HkE2TPnSU7ML9mcYWBOWde\n2P4AguBIeZfXHJmmWTAWHUEG8MUyCIKA3Na+8PNWwXWyuri4XA7YC113TrtyyOZ0xk0vPi2DIlhf\nvEexjJfHXzrD8ETK2TaV0Xj6jfP86x+iRXLP1msFQYbqPx7TNMmpBorSGIZFRezI0SzrqtVEd2uA\nLWuauXpTO61NPjrzBrDfK6HphpPmWEwtosL22qsn2FX3MS+WWn9dyUgkcheWcfSRSCTSA7TOsY9L\nA2BHddTR0ZLnswMXGfrO/yxsN1v4d46aI4fy1xd497SV3RYvimCr1ZUZhkWPnZojQ8c/nUFoDlup\nhHWkUfsAuLi4uFTDTau7cnjuwEUy3hCmYaDFrGbwduQI4A9vnMcwrJ5GuSKJ73PDVl+kQp+jvJT3\nLGl1ev44HrlxjSMjYxkToq+xlPbuuX4tf/FAxPm+rt5oOYqffvPCjHVUeT1ZJcyisoXVRq2/rm8A\nDwNPAe3AMeB/LNWgXJYPPWV5dMZ++bOS58ujOrN5OBzFlSoXgWBHp+pVV2Onui3SppDy40pr6ZLn\nS5ri2p6tTA5R1RFbl8onsPomBxcXF5f50oDiYS6L5NzQNFmflWplN473KgXjKJbM8Q+PHeIX+0+V\nGD4HT1mN5WfUHM2SVmfvr1wOxpG3sYyjcrasbWZbfwvDE6kZvZBqSatzjKNVuP6pNabXF41G/z7/\n98cBIpHIo7WeJBKJiMA/YtUtZYGvRKPRk0WvfwT4T4AGfDcajX57rn1c6kNxXZGRyyF68oWTZb/V\n2SQnW+97kKn9z9F0y62VN3BKksojR0V/zqebcnkV5wIQBJDyPQYSalmDs2Jpc/tUY9aELzaFF3zO\n2Vh9U4OLi4vLwlmFzmCXJcKjSGR8IXragmhT1r2yOHJkNwQdHEuWGEdD45ZzttzgmU3KO+ds27g1\nR40aOarE+u4wx89P8cSrZ/ncfdtoCXmB2pZptlHUcMZRJBL5NOAF/vdIJPKfyvb7j8CvazzPI4Av\nGo3ujUQitwD/Ffho/hwK8N+AG4Ek8EokEvktsK/aPi51pChKkr1wHv/mLQCYaqn85myRI6Wzk85P\nfrr6OWpIuxv/7W/Inj9H39/++xoMpBqSWedEQBas91RuHJUIReTT6nz73yALCOGlMY5cXFxcLgcK\nNUerb8HjsjRkcjodnR34U5ITOepoqbzwt8UWFFl0jKJ0Xg5aEq1a4NkEGdS8wENDR46yduTIu8Ij\nWTwhv1VmoGkGbx0b4d4b1gHzjBytwrlCmG1QkUjk3wG3YqXU/bboJQ34YzQa/VnFHWce5/8G3ohG\noz/NPx6IRqNr8n9fC/yXaDT6YP7xfwNeBfZW26casiyvvk94tWOapSZ+sSFjmnkDxFx8TyHDKBzf\nzk0tVmqp9Fytx1sI+fdnCgDWhFwiZ16cPyuKjmCFsATqMvOKmrm4uLisYkzT8gQ3avNHl/ljmCYC\nAoI5875s/x5snHstQqF+GMHZxTlWlZ+PCc7+DfsTs9dXDaJWNxeO6mDRd1LL92Sa1i9AYGXWP5qm\nVT3prJGjaDT6beDbkUjknmg0+uwixtAExIoe65FIRI5Go1qF16aB5jn2cVkKzApGkOD87zLD7i0k\ngFB8cVfabpmG4+Li4uLi0qhUWOAKQmnSyFxd/YS5boZmfqtF3jPtRfnKcfnd9E1M5/tzVli1vM1V\n+FHUWnN0KhKJPANsAG4Hfgx8KRqNnq1x/zhQnI8kFhk55a+Fgak59qnI4OBkjcNxsRn81j9jZEoF\nCUK7ryPx7jsA9P7V31QN/XZ2hhkdnZ7zHLmhQUZ//lNC199I877bGPjv/w2Atg9+CP/WbWixKYb/\n5XvW+b76tTnzcEd+8iPU0RHCN95M094qdU5zkHj3ALEX93PwmlYutAtOI9gHN9zDOrOJ4R9Y40GS\nWPP1b3Lw//nPjIoprvnKf6ArUN8+R98//FO8ksJntn+8rsdtNGr9Pbm41Ir7m1p+XnzvEgeOj/KZ\ne7fS1RpY6eHUHfc3Vcp0Ksd3nzxKpL+VGwbeIHvxAn1f/2ZJnfJPnz3hyHnfc/1ann37Infs6uPF\n9y4B0Nbk4/MPWN1hvvv7o5imyZc/tHPGuY6cneCZNy+wa2sHd+6eNZFoVgYSg/z21FMAfG3XFxd8\nnIUy9P3vgmHQ86WvAI3/m1I1nQMnxnjt/SEevLmfSH8r0fOTPPWn89x9/Vqu2VS5/cn3Dv+YjJal\n1dfCn0U+tsyjnp1aY3r/DPyfQAIYBn4C/GAe53kFeAggXz90qOi1o8DWSCTSFolEPMAdwGtz7ONS\nJ0x9pr1pG0YAQl1kqyvXHNm1PUam0Hm5Ur+lctTRkfz+iw8i+mWfYxgByKJcWa1O1zFFYUlSRQTB\nFWRwcXG5PJi9JbjL5UZOte6fHkVEDAYB0JOldbwP3NTvpE3ZdUbhoMdp+qoXiSApkli1z9Gx85ZM\n+J6tnYsa80RmZR3pZjaD6Gv8eiMbRZbo77ZiGRfzqnX2V1pbzdHc677lplbjqCMajT4NEI1GzXy6\nXdM8zvMYkIlEIq9iiS/8fSQS+WwkEvlqNBpVgf8A/AHLKPpuNBod+P/Ze+8oR87zTvepgIzOcXpy\nxMxwmKMoikmUTIm0FSzJtnTlddbe63C93vU5Xu+udr2rXfvu8XFa2bItWQ6SHJTNIIpBIiXm4QxJ\nkUPOYHLuHJFR6f5RAYVudAbQaMz3nMNDoFCo+jBAV32/733f31vpPcs4n2CJuGJEaZ37dUqBQHVq\nbLy/jcriyCr6zB8WEUd+8WQt0kV7KUTU8iiVLEngP65l91TAMDEVefGQ/wqoxTEFAoFgTRHqqOk5\nMzjDl59IAiDLEkrctvM2M+my/TpaQmzutV/LFx1DBUVmz6Z2oLzXYECVK7rVHT03yYXhFG3xEG2x\n4KrGPVWYAUrtPMpfm57T3qOaWKaJWSgghyM1O8da0NseIaDKXBq1v3v3O13I2t9cr251PnKJRGIT\nzuUukUjcgW2vvSSSyaQJ/NtZm4/5Xn8YeHgJ7xFUG0egRPftJ/XyS2UvBbqrlT7mVVqWbfUiR0Vf\n5GiRFQQjVQo9rypy5KxmRGeJI9My50aODAOwsGSJ2iXHNt7FQSAQCJaLGyEwG9CBaj2QyWvMZIps\n6Iqt9VAWZGImz8PPn/WeZ3IaalsbAKlXD9N+TztKtJRW6TZ4HZ2yhUdLNOBt80eOYmGV4QmTR188\ny/23bkFxFmifOHjePna23El3JYznJuzzWibHJ0+yp2OXMw6Dfzr2TVRZ4Zev/tlVn6cSZsGe7zSD\njbcfWZYY6I5xbihFNq+jORHFQGB+y/VS5KguQ1wWSw0L/DvgEez0t9exa45+o2ajEtQNtdPOBVXi\ncy2q4zfcVJ2TzLd04KwsLCdyZPhXpPTViCP7f2G1fPXGtMw5YzA1DQswFVk4MAkEAsECiEvk6vjS\n40m++v2TZPML39+yeY03To15PYTqzfBkDsuyuHZ3N1v6WrhlXx/BgU0A5E+dZOTL/0DuVKk1pdvg\n9eJomnBIpaMlhOJs86fRuelZJy9Oc2Zwbh3OHVdvWNW4LctiLD/hPf/e+We9SXpOty22df8CaZVx\nexxJTWDjPZuWqB3Ryxd1rx9VcAHL9Ubuc7SoOEokEnuBS8AtwP8HTABfAt6o7dAE9aDrAx+k9Y47\nie4rFT8G+vpRWloJbdpclXO4aWOzbePdyI+7kgJgLXKhN325zGX9iFYwKoCoUilyVC6OtOFh+7Ua\ntn5vxJUTgUAgWCnimrZ8JmbyFJy0s1Ru4QjJIy+c4+lXL3H03NrUz7i9iDZ0RvnQnTvoaY+gdnQQ\nu/paAMx8jonHHsVIpzE1DdW07/fBqVH6LXuRM3rsNdqmBssE3lXbO+nrtCNOF4ZTFDQDy7JQFZl4\nNMB1u1eW0WKY9nFmimk0Qyt77S/f+DuOTZzg1PSZFR17OVhuj6MmS6sDXxNfw6To9KMKLily1HgX\ni8WawP4udmqbDjwDbMeuBbob+CugNnFHQd1QW1ppueHGsm0tN93sNYOtCovUHPnT6haPHPnE0Woi\nRw5hNQy+66RhmWCWi6Dxh75ln0+Ra+LFLy1qbioQCATrA3+fE8HSyRV0vvR40nuezmr0dcy//5Dj\n/jadWXKFQ1Vx64LciBDYKZXt99xL+z33Mv38c6QPv0JxZJjpZ75P91gaecu72Hv8WWKRABPyEOGT\nR9mVLvBay4PeMVRF5qP37ORvHj3KG6fGeePUOLfs60M3TPo7W1Z0D76cHuJfTz3GDb3X0ButbObw\n9IXnyp4bpoEizz+xXylu5KiZDBlc3DRJzbCWGDlysoca8GqxWOToE8Be4DbgY8ADyWTyz4CPArfW\neGyCNaI6DnX+Azo/s9lRIWflySqsUBxVwa0urJQXdlqWWdHowcLClKWamSc03qVBIBAIlo83eW3A\n1eBG5tJoucNbKqvNs6fNWv8za8ZcceRHcZzrMm++gZFOoxQL7DhzGLDNGPJnTntRhauk8fL3yjJ7\nt5SU4cGjw0imwba25YsVwzT411OPAfDqyBvkjXzZ6xvjldP0sjUyZSiJo+aLHLm/BV03PVfCwDzi\nyLIs77e7HsWRlkwms8lkcgQ4lUwmswDJZNIAsjUfnWBNkNRqiyP3wTyRo0IpfWAxK2+/C85q3Orc\nG7g0y63GqJBW552vRpEjYVYnEAiajcab7jQ2Ba08TXyxtDr3XrRW4shNq1PnmfzKjhlD4dxZAAKK\nRNvMEACR/j4Cvb20DfTS3xXjuv657nP7t9niyMIip46w6dKbtDzxNXKnTy9rnCmt3Dmv6KTUbWvd\nwo62rdzUd13F99VcHDVhzVHAEUeaYVLUnbQ6tbKgNX3mW+surQ7wzxJnF3g03qcRVAVJXaqJ4VIP\n6Fw8LWuWFbdr5e2LHC3mVpf1ra5VwZABy2JX+3ZOTp1xnlpQqRjTomaRIwmpIVdOBAKBYLmsdURj\nveJaXLukF4scOf9fq4mla6IQUCrfE93IEdjGT62ME40E6H7gQaI7diIpCvrUJPo//B2SNvezdrdF\nuHpnFwfPHWMi8jZtmUGUtj6mnnqC8C/+clmT2YWYdmy7XTTTPteB7n1sbhlgqjDtvdYb7WZn2zZe\nHDxEVquVOLKP22xudVASyrpuev2vAoF5Ike+OU8jzn8WmwXvTiQS36/wWAKqWJQiaCSqHR0p3Syt\n8rQ5s4KV92JpdenqptUB3LflLra2buJ755/FsAws0/5jju7dR/bYUW+/XFukdj2JGu/aIBAIBMtG\n9G1bGcU5kaMlptXVakAVODM4w5HT49xzwyZeOz4K2A1AKxHo7fUehzZvpvP9DyCpAVRfT0VNkRjJ\njtGZnqBSedW9N2xC7hjkO8csJEWza4LzOS7/+Z8R3bef9ne/Z9FejKli5chRULanv6pUmga3BONE\nA3a6W80iR01q5Q2ltDrNMJlKF4iGA/M6/PpF/XqMHD24yOuCJkQKVDlyROkq7u9jVCmtbrGaI9MX\nOYok9q1+aJaFJEmozoXSoiTgghsGPHFkqjIzfSsrBhUIBIIrhbLFMMGSmZNWly1S1AwujKYxTYvd\nTsNUl7XoJ/XQc3aGxenLb3vb1HkiR3IgSP8vfYr0q4douelm5HCEifwk3z32de7edAcD8X6Ops6Q\n03Nkjh2i5Tsx4jfcSLC/vAbIVHLsbQ0TMi2mO0L0R3spXr5E9ujbhLZuI7onseCYi2a5yEwVbXvw\noFNvrPpMFzrDHURUOx3w5cFDHJ1I8uM77iekrK7pbNnn8dLqmk8cuWl14zN5MjmN3Zvb5913XUeO\nksnkD+o1EMHa0/2Rn6J46SJq+wIWOSvBu1uangkDVE6rWyhyZOk6Zj5PaMsWOt79XmSnG/cKBzXr\nmf1HbVgmlnOPklQVSVGxDJ3pDa12zdEqzrjQSBrv0iAQCAQrR2ij5eGKo/tv3cIbp8YZHM/yrWdP\nMzRul3d/4j0huttLRfzeOt0a/zvPZ8gAoESjtN1xp/f89dEjTBdSnJ4+y0C8H122QJKQdYPcyRPk\nTp5g4Nd/0xN+mqExeOoI29+4BMDwplYO3P0RJg6+QP7gKxTOnV1UHLm23V2RTsZzE0w6aXQB2a6t\nVuTSNLgj1E57yI5sFYwio9lxxnLj85o2rASvz1ETRo5c84WzTn+qjd3zNzI2GzxytNQmsIIrgNDA\nAC0331L9A/vi/2Xix4sc+d3q5v8jcZ3qlGgMpWWVUZxZ71WcuijTMkt1T4qCFAxQMIpc7Ak4b6uN\nPGrElROBQCBYLqJR9spw+xtt29BKPBrAsixPGAF85cnjZfu79yKjjk1gQ0E7ytLRWprYz+dGNpu8\nXuCUU9s7nrd7M9n3Wwv/YqWZLX3mTGaabc+fpDMvo0gyEz0RBrMjfDV8nAnyDJ14k9dH3uTYxIl5\nJ9hujVFHqA2AyfyUPW7FvqerUilyFAtEaQnGSXSWqkZmp+WtFiufR1LU6td2NwBuFHE6bc/pFhJH\njR45EuJIUHMk/xJXRUOGpbnVueJIjq0mYjQL54Iq+cSR64InSTJKLEY2YJHqdhBG//MAACAASURB\nVM9ZA0MGMZcQCARNgiy7q/4rdxO9EiloBpIkEVRlWiKlNK49W0qpSQWfaYN733Atk+uBK4R++t5d\nbOyx74nKEpujn5w6je7UGY/lxrEsy3Ms8y86GqmSgUIxk/Jel9UA0+R4cfAVkCTOt2hMTFzm1RPP\n8/SF5xjNlduBu2hO81lXHHmfxYkY+c8dVm0HuXs23cGDO94LQFort1hfLWYhjxwON2WKflu85MAX\nCip0tc0fHSurOarpqFaGEEeC2uNZjs51q7MMo7yZ6wJudW69kd8Fp1qURY7cMSoynQ/8BKfv2AXO\nDUAUGwsEAsH8xCP2inwqu7AVtaCcgmYQDNjtItrjJXG0e2M7Az32PW8yXcAwTQzT9ERJvlgdY6LF\nOHh02HPQCwYUPnzXDn79I9cseZLvusa1h1opGhozxTSGZXL25q0MXreFtrvvAUCfKYkjPW9HkWRk\nxu++Dt00GMmOAZBtj6BIMvssu6nrjFNLNBs3ra49XBKZO9u3IUtzp78R1U5blCSJlqAt/qodOTLz\nhaZMqQP7b98VSDs2tC742yiLHDVgWl3zxfUEjcsctzqzPKUOyB1PUrh4kbY775rzh+VZYEaq0Dxt\n1rFlr7jVxHLSFCRZxohHuCynvaUNkVYnEAgE89MWsyf2MxkhjpZDoWgQcpqi9ndGve2drSF2bGjj\n8miGbz97mlBAIRRUvHtWNl97cTQ6lePFI0Nl25abPulGcHqjPUwVZpguTGNaJjP9rWhqGCVkC0A3\nrc60THSnHlm/bi9bdl3H2YsveMfLtYYJKSFa8gq0QEar3HpzdlodwIZYX8V9g3Kpx2MsYI+nmpEj\ny7IwC3nUzs6qHbPReP87tnJuKMU1O7oW3K88ctR4UWYhjgS1xw27WxaWr4eQZehlKXUAuRN2XnXr\nrbcizeogbeYdC8wauLzIXuTI8kwjprU0r194ruyPuDZ9jkTxskAgaA5ahThaEQXNoN1Zde9qC7Nv\naweRsEpHSwhFkXnujcsUioadWpcpLdRl6iCOXj85tupj6JY9ztZgCwApLcPp6bOAff+VI7YgNHNZ\nCkaRfzz2dTqG0vQASjDEVV0J9nbsYqowzbOXXmKkaBANRAhMZaAH0lrlCE/R1JCk0nmhFCGajX/x\nMyCrhNUQ6WpGjgzDdshtwnojl972CL3tiy9gl0eObLHUSKmGzfsNCRoIX1fAWWl1buRICobKXesq\n5KubBccCM7z6ztKSL9UP/OLI8FL/fnj5Zcbay3s41O5PV6gjgUCw/gkHFQIBhdOXZ3j77AT7tzXv\nKnm1MEwTTTc9wwNJknjvLVu819tiQd5321Yee+mct21DV5TLYxlyBZ1MXmM6XWRggQL41ZBzBNhN\ne3vp74ousndlNKcvoZuu9kNfFEiRZOSofVwjlWb49ZchM0U+59pe2/d8RVboinRy/7Z3M9gzTOTI\nE2iT00CETLE8cmRZFk+d/wFDmREiatgzYIBSvZHLz+z9cMXUrpZg3DNwqAZunXUzi6OlYi5QQtEI\niJojQc2RfAWbVpmVt+lFjmY3RHMvIi5mPkf68CH7eMHVi6PSiWaLI8tzzMua+Tm712Rlo4FWSwQC\ngWA1SJJEW9SOHj35yoU1Hs36oKjZ90U3ra4SOzeWmqfeee0AH71nF7s2tWFZFo++eI6vPX2Sc0OV\n625Wi2sWcfuBfnYOtC3+hgrMjhz5kSUZJWLPAbLH3ib3zA/Y88OTbDg2DIAyK1skrIbY3raFQE8v\ncq5AqGjMSX97e+I4J6fOOGLqXgCu6zkAQHekPOWrPdRGR3huT56gHEQ3jarVxLj11ZIixNHsUoJG\nE0tCHAnqgBOlMc1ywwXDwHSiRXIwUP4Ws1wcFS5c9B5XI3I0G9nvVuecuy1iXyzfOVCyNxeGDAKB\nQLAwrbHA4jsJPNweRwuJI0WWefD2bVyzs4vEFrsXYUC19x8cs4XBueHaiKO8zyxipWimhizJxAJz\nI0+SJCOFwl5Exa1PUvN2vZCiVm7CGujuBqA9U14bZFkWh4dfB+DW/hvod2qMbttwE7989ScrjqES\nkq8WuRp44kid/3u+UmhEEwY/QhwJao/vgjrHrc6JHBmZWSHxWZEjy3dxkqsROZpjyOCII0xvjEVL\npyUYZ3fHTt/balFzJAwZBAJB8xANC3G0HFyLbjetbj52bmzjnhs2EQ3bImJ2j6FamTMUiwbhRca2\nGLqpE5BV4oEY/bHestcUyRZeoc1bvH1NVSHXHiHXHkHrrhytCnTbTnXtWQuGRnn8rz7N8289yXB2\nlIyWpTvSyZaWTd7+kiShykuP2rht380q3Z8twxVHInJkzhJH1fo3rhZCHAlqj+SrOfKn1ZmlmqPY\nVXa4280tdtPv3NUFM1MqiqzFhUXGZ+XtnFuzdIJKwLP5BhE5EggEgsVYamNQgc3bZyeAhSNHlQjO\nFkcFrWpj8mPbjK9eHKmyiiIrfGjXA3xy38e819zFyfD2HZiWRUbLcuJdO0ndfzsn3rWLSGxhcdSd\nldlwdIj4aJriE9/nWyceAWB/V2JVC5ql2uRqRY6cmiORVjd3QbjBIkniGxLUHq8HrFV+kfGl1QU3\nbWLgtncw8+ILpA+/AoaOkU4z9MXPE73qgCeaej7209Ud25yaI9MbYwGduBKq2A+hmgi5JRAImolI\nSEwtlsMbp+wGpssVR5UiR4PjGUwL2uNBYquI4JmmxchUDtO0bLOIVYojzdQJ+KyyI2qpjsgvjnK6\n3bJDD6q8f/t7uJS+zLbWzRWPqbS1IQUCdExrpKbs9wUzBTafmqIj3sWm4jQs7Ci9IP55wUqwdB19\ncpJAT4/3HETkCOam1TVa5Eh8Q4I64HOGM/xW3gZWwbXnDiHJMpIie68NffHzAGTfOkL0wNX2kapu\n4+2KI19usWFgWhaWJBGUg2XiqGZ9jhps1UQgEAhWynW7unjhzcG1Hsa6wPClmocCy1uICyil/SNh\nlfHpPF/9/kkA4tEAv/jA/hWP683T4zzz2iXv+Wqd8DRDI+qz0Fbkkthy77FKLIblfKarBg4QUoLs\naNs27zElSUKJx7EmJ8siD9tOz9ARkkjzAm0337ro2IxshvSrhwlv205oU0mIuRklK0l71yYnGf/m\n1zEyabo/9BFCmzeDk1aHqDma09uo0eZAIvYtqDmS5O9zNNvK2645ch3o3HBz4dLF8oNUu5BxTs2R\nfVzbkMFEN3UsSSIWiNY8lU6Y1QkEgmYioCps6Iohy+LithhuvRGAscwJYsAnpjb1xMteS2e1FU84\nJ2byHDxqO8Xt29bJtbu6uWF3z4qOBbYw0ky9TBz58d9jtY++j6P37aVvnkats1Fi9ufui/agSApt\nwZYyRzxzVi9FM59Dn5r0WolYlsXQF/6a9KuHGfvm18vH5S2aLv/fMfXi8xhOOcDYt7+BkU4Ltzof\ns3+bjVZ3Lb4hQe3xZv8lm2wATNPrbSSHHDcaxRYp2SNHvN2UeEv1LyqeYLP/VxY5Mk2KZhFLluiO\ndDZUYzKBQCBYD0hSw5URNCR5nzgKLnfxz/fve2B7J5fHMrz7xk089NwZAL74naM8ePs2+jqW5s5m\nWRYjkzn++XsnvG333rARVVn5OrppmTx7+SUAIoHK4kj1RZGMoIoWCaBIS/u3MDK2S11Lzwa2f/g3\nMNIp1PYOpn/wNNljRxn92r8Q2b6DQG8v4W3bGfzrv0QKBAjv2EkueWzBOYUb0VqqyMy8dYTUyy8R\n3rmL/NkzpRcsi9TBlwht3gqItDoAY06qYmNdLETkSFB7fEJkdmGjkbVd6lwHOkm2f5JGJo0Sj6N2\ndmFpxZo3T/P3ObIMw4sctYVaF3lnNRDiSyAQNBeSZKcLN1q6TKPhiqOAKrN70/J6CBWc/kjBgMKW\nvhZ+6cH9bN/QyoO3bwPs6NHgWHaBI5RzdihVJoyAVQkjgLfGj5GcsFP9ZqvlD+16PwARX0TJnTQr\nS6z1jV17LUgSHe+5HyUWI9jXjxwKeWZP+vgYqUMHmfjOIxSH7WiYpWnkksfsx4aO2mFbo7v/d/Ei\nRyxec2RZFjMvPIeRTpH50WtYuo4UCND9oY8AkD16lInHbKMIIY6gYMyK6DXYdUKII0HtKXOrK7fo\n1oaHkSNR72LhT5sL9m9ADocxi0Vf5Ki6ubqWz5BBkpzIkXNDt2RpTiftWtFoIWWBQCBYDbOC84J5\ncHsc3bKvb9lZClfv6GTP5nZ+6t5dZdt3bmzjw3ftLDv+Urg8Vt5I9QFHZK2UnJ7jlaHXvOfyrGhQ\npEKaneH0GfTXJC1E/JrrGPi/f41gf3/Z9pZb30Ggu9szcwLQRkfmvL/l5lvo++TP2Rkqs+Ynbrrf\nUgwZrEIeM5cj0NuHHLY/l6VphDZvpuWmW8rmNlJAWN0XjELZ80abAwn5Kqgb1qyaI7BXbSLbE95z\nf4hbUlX7wmZZmLmcfbeVa6fnZWS75kjTMLHF0XJ6IqwUCTGBEAgEzUXJBtkShZULUHTES3CZZgz2\nexTed9vWiq+55g7LEUeD43aUqbstwg2JHnZtXF4kazZvjx+nYBS5uf96iobG9b0HZu3h/EZ8d0Bz\nmZEjqByJCfb20vvxT2KZJpNPPk4ueYysEy1yab39nbTcZDd5l4JBzGx5lG05aXX69LR93g0DRO+6\nm9Gv/Ys3X2m9/Z0EBzYy/tC3AMpMH65U3MhRQAmgGSuvj6sVQhwJao4kSaUEdHcFxpeQrrSUiifL\nxI+qIjn7GNkMkqpWrf5H8tdBuaeWbHFk5LKYQbVu4sgeRmNdGAQCgWA1yL6EAcH8uP8+1a5tda23\nXzs+ytU7uuhoWbh5+nSmyKXRNBu6Y3zsnl0L7rsUNEPj7fEksiRzoGsfYXXu+eUKn9mwDOe16iyE\nSrKM2m6ny2nDQyjxONF9+wlu2Ehoa0lYysEg+vRUxfFVSvmynDoitaOT6J4ExswMAGpbG4H+DbTd\nfQ/BDQPe/qGtW2m7+16CfX0o0aXVgDUzbuQoooTQjNr051oNQhwJ6oMjhtzmrlIggOW4yMg+e25/\n2pykqN6dwywUkAPB6o/Ld82TJRkTEzObQ3f6dKhLLApdDaKxrEAgaDbKIkeCeSmldlf3PuBv2vrc\nG5f58XduX3D/TM6eoG5cpWW3y3B2lLSWYV/XnorCyI//N+KKo6UaMiwFJV5y8otffyPx62+Ys48U\nDIBhMPj5v6T7Qz9JoLvHZ+Vdyngx0mmwLIxMmtTLttGEpWl2dgugtLYiSRLxa64rP74kEb/m2qp9\npvWOK47CapiZYnrFvaRqRV3EUSKR+HHg04AOfDGZTH5+1utbgC8645GAX0kmk8lEIvHvgF8CRp1d\nP5VMJpP1GLOgykhO8piTVicHghiuOAr7ehf58owlVSlFmgwDKVJNoTJ3WVOWZAzDwMznMGKOOKpH\n5EgSaXUCgaC5cOf6pri4LYjpRY6qe1x/09al6NNcwa7rDQerc8+bLqYA2BCd35K70sKg2/dpqTVH\nS0GJ2YJPUlWi+yr3fjKztrgxczlG/vHLDPzqb/isvEsT9+Ev/R2WphHdu8/bNvPi815Kntq2ulTE\nKwU3rS6s2MLZFcWNQs0NGRKJRAD4Y+C9wF3AryQSidl/Lf8D+Gwymbwb+F/A7zvbbwR+NplM3u38\nJ4TROkVyFIDlFFtKgdIF2C1ehHJDBklRyiNJ1XR4qXAjkiUZuVAEy0J3bhDu6tXezt1sa91SvfOX\nDUVUHQkEgubCS1wWkaMFcf99qp1W5+8xVdANvvnDU/zDd4+hG5VX6F1xFA1VR5RM5icBaAu1LLJn\nec1RLSJHansHSBLRvfvKF2N9hLZuK3uujY0hzao5sgwDS7MjbNljR1Ha2ojfeHNZrZLSWg+H2/VP\nQbcjRxvjGwC4kLq8lsOZQz0iR/uAk8lkchIgkUg8B9wJfM23z78Hpn1jyjuPbwT+YyKR6AceTSaT\nv49gfSI5FxhnmUxSS24tcrgUcvdvl9RA+bJjjRunyZKMpdl/sJoqI0uyt3p1z+Y7anpugUAgaCbc\nybnQRgvj3uJq0S/3Fx/cz9888jYjEzlPFI3P5EllNQzDJLGlwzZKArKOOIqEV3+fzWhZjk2cIKyG\n6Ap3zrtfpdTLatccAajt7fT89McJdMw/ltbb30n8mmsZ+tsveNtk163OEW9GKlX2npabbiGa2Iva\n1oY2MY4cDtcm/X+dMl1IcW7mPAe69835PgtGEUWSSXTu4qWhw5ycOs21PVet0UjnUg9x1EpJ+ACk\ngLK4YzKZHANIJBIJ4A+BDzov/TPw58AM8K1EIvFgMpl8pOYjFlQft+bILNUcufhXcvwRJUlRsGoV\nOaqALElIun1hNuTqhvUFAoHgSkLUHC2NWkWOAOKRALFIwKsnAhibyvPUoQsA7Nnczt8+doz2eJCO\nuL1IGQ2vzmZaN3WePPcMmqnzjoFbCCjLO95K3OqWQrCnd8HXJUlCaWlBCoawigW7T5FS/hvWZ+yp\nrBQI0Hn/+wlv3wFA7MDVVR1rs/D0hWcZzAxjwRzhUzAKBJUQETXCpvgAF1KXmC7M1Km35OLUbLaZ\nSCQ+A9wBXAO87HupBZiqsP89wF8An3TqjSTgT5LJ5LTz+qPA9cC84qijI4q63A7TglXR07N4yBxg\nPBwgGFaJxwIUQiqxthhM2D+/no09qFE7ta4gF5l2zBDau1sxcnkKzvNoS2TJ51uMmfEY6ZBKa2uY\nLueYsXNhjJk0wZCKHIJ4JFy18y1E9GKQtKnW5VyNjvg3EFQb8ZtaG1riIYIhlc6uOC3R5lpNr+Zv\nqnUkY/87dcRq8lttaw2j+TIwBqfyBJ176kzBpKCbDE/lKegW4XCAPdu7CagrFyaPHX+acX2cTR19\n3Jm4YcEIULSoEAypRGNB77OHhlWCeZW+3naCyxRWVeHuOxj9wQ9obw3SrkYJTqm0tUfo6Whh8nyR\nVEhl4CcepP2a6gqiZrxOBS8qBHWVE+kT3Lf/tvIXT5q0R+zf/PX6PoZPDjNsXqY9FqE7On+Er17U\nTBwlk8n/DF7N0duJRKITSGOn1P2hf19HGP0pcH8ymTznbG4FjiQSiX1ABrgX27RhXiYnl94JWrB6\nenpaGB1NLb4jUCwaGNki5nSWYkFH0aHohPEnUkWkjP3YSBW87TPpIma+6D1X5OCSz7cYuSl7HDPT\nOUznmIWCjpmzz5/TwChaVTvfgmPJaRQKWl3O1cgs5/ckECwF8ZtaOzIZ+9o9Opoi30TiqNq/qSnn\nXjQ9nWV0tPpiQCvo3j0U4K2To97jv3v4iPd4pKDT1xllarK8EexyyOk5Xr90DM3QuX3rbYyPLXys\nnJ6jWNDJpAvev2kqbW+bHM9WNbVuqaRzGsWCzsToDOm4/Rsen0wR01NMnx+kWNBJW0G0Kv4GmvU6\nFbFi9jWgMMnLJ4+wo822Trcsi+lshlA0wuhoCikfoFjQ+d7xF/ne8Rf5hQOfIKTU/pqxkCCt+S8v\nmUxqwG8BjwMvYrvVXUokEp2JROKbzm5/AgSBv08kEs8kEom/ciJGvws8DTwLvJVMJr9T6/EKaoTr\nVudaeftS5CRfbyN/up2kquBLq6uqC8x8fY6cDtm6bKHUq8eRQCAQNBnSXENQQQVKbnW1aemwuTdO\nMKBw875edm9un3e/W/f38b5bV2c69PrIETRD45b+G+iKLGX1f24TWMMy7H7vayCMAK+22dJ1z03P\nTavzehm1C0e6peB3+Xv87PcZzowAoJk6lmV5TnUtwXjZ+87NXKjfIOehLrO/ZDL5MPDwrG0TwIed\nxxXN35PJ5JeAL9V8gII6INmFn9bcmqOyvfx1RbPc6pS2+S/s1UBG9mqOdMkiUC9xJKy8BQJBkyFq\njpaG1+eoRlrgXdcO8K5r7WakJy5OceLCnKoGbtnXx21X9a/6XOdSFwnI6pIL6+cuUYJhGqjS2i1M\nys7cxNL1OU1g9akppEAAOSKauC4FVxztat/OyakzvDWRpC/W6/U4CjniKBYo//f83vkf0hPpoiNc\n2znfQqyRNBdccUiOAnAMGQK98/Q+8IkhORQqE0e16B/gv2/LkoxllMRRNa1EF0JCKls5EwgEgvWO\n6HO0NNyJdz2agW/rL6UR/fR9u1EVewpY0FbfY8YwDaYK03RFOpfRH3CuPNItY23NkJw5h6VrXvTK\nwsSyLPSZadS2tppF+ZoNwxFH7xi4GYCslsUwDQ4OvQrgpc7JkswHdr6Pj+35oPfeR04/UefRliPE\nkaA+SIBlYjlpdaGNG2m7+166Pvjh8t18Fx21ta1cHLVWUxzNvbjJkoxsmpiWhaVI9WkA6yFmEAKB\noHmQxQRySVheWl3tzxVQFc+quyUSZIsjlkLB1YuRmWIKy7JoDy39Pl2KLpa26aZe53tvOW72iqUb\nnmA1LYvi5ctYxWLNM1iaCdOxZQ/JQQKySk7Pcy51geOTp+ztSqmNy0C8n65IBzf1XQdAwSzWf8A+\nRFGFoC5IklwWOUJWiF9TMZvSQ47FyiNJ8fgCey93PM4Dq7zmSDIsTCxMWUGt0+pVPVYMBQKBoJ6U\nao7Ews9CuJGjeonJT743wUymSDSs8mM3b+aNzijX7e5e9XEnC7bNdcdyxJH3yBc5MvW6FOPPR0kc\nab4msCaF82cBiO5JrNXQ1h1u5EiWZMJqmLHcBD8afct7vVIE7sa+azk0/DqaoWFa5prVnglxJKgP\nEoCFZdorCQuFpZXWVixNR5LlsshRbULZfnEkIZsmlkXdI0di/iAQCJoJ93ptiry6BSn1OarP+SIh\nlYhj5R0MKNy0d+H+P0tlyhFH7eHlZHjMNWTQLYPYmkaO7Jqj1EsvorxUoHuzgrnZwizavaLUjo41\nG9t6w/SJo1QxDcCQY8oAUDTmRof8YujFwVd458CtNR5lZURanaBOSFimVYocKfP/9Pp+9ufp/4Vf\nAvBqgKo/nEppdYodObJMTFmqX82RSD8RCARNhldztLbDaHisGrvV1QtPHK0gcjTbkGEta46UllKG\niqTpDLw1iImJVbRNBKRgaL63CmZhWAaKJCNJEjvbtwHwnq13c13PAQA2xBY2AXlj9O0yx7t6IsSR\noD44Vt6WI46kBax5yiNG9uVTDkdqM64yQwYJ2bTFkSXL9XOrEwgEgiZDFl7eS8Ksc+SoVkzlp1Ek\nmdbgMpqZzvqNGKaBaZkE1tCtTm1ppeP+9wOU1RyZRTvKIQfXoDHtOsWfFnfnxtv5+N6fZFf7dm7d\ncCMf2/MBtrdVto6/b8td3uOLqct1GetshDgS1AdZsqNG7o1yiStD4e3baXvXnfT8zMerPKDKhgyS\nUTJkqHefI5GbLxAImoUKZZ2CCni3RHn9qiPLspgqTNMaal1WjcjsyJHhFPCvqVsddl2R2tXlfZa8\nnsdyxJEUaJ6GxrXGL47Caoi2UCtgz7UW6oO1u2MHP7n7QQDenjhe+4FWQIgjQV2QA0HMoualyS0U\nOfIjSRLx629EbWmt0cjKDRmiUzmmCtMUokECdUqrEwgEgmZDmtUjRlCZUuRo/YqjglGgYBRpCy7v\nPi3NqjnSnZrktXSrc+n52E+jKgGQJKbyU5jFIpKqltVBCxZmNSmSPZFuuiKdnJ05j2ZoVR7Z4ghx\nJKgLUjCIpRVLNUS16ni35AE5/5/V5yg2mSUVU9DDgbpFjmbfIAQCgWC9I7LqloYXOVrbYawKzdQB\nCCmrSzlzI0dqAyxMyoEgsW07kCyYzk5iFQtIQRE1Wg6rcZuTJInOcDuWZZF3msbWk/X89yhYR8ih\nEFgWViFvb1jrVbIK51d0E8kw0SL2Bb5eVt4CgUDQbAgr76Xh/vus57Q63RFHy434lPocuZGjlR2n\nViiBIAFFZToziVksIgszhmVhWCbKKqy4g7I9F9NMETkSNCnuiouZz4OiNGQKgVyw/wB1x+a0Xhfo\nUm6+mEQIBILmoFKDz9WgGyZ//dBbPPvG2hRo14pmcKvTViqOZtX+usdZ65ojF0lVCcgBDF2jmM+K\nyNEysSNHK/8uA06/q0ppda+PHuGZC8+v+NiLIcSRoC64Ky5mPr/keqO64L9z5+zQrR50xFG9HHPW\n8U1RIBAIKiFXueYoldXIFXReTY5W5XiNQjO41a024uOmlJfS6hojcoSqElSCyLpBsZBFFuJoWZir\njhzZv4PirMhR0Sjy4uVXODpxvGb1SA00SxU0M+6Ki6XrsEYdjythpFPeYynviiN7pUOk1QkEAsHK\nqHbNkWE2Z8ckr+ZoHauj1abVlY7jGjI0xr3XjhypBAo6mqGJyNEyMSxjxTVHAEE3cjRLHI3lJrzH\nWT2/4uMvROPMUgVNjRwp9SlqBLcX96KcOfIm2aNv29tccVTntDqBQCBoNtzJfrWMZora+hVHZwZn\nmMkUy7bNZIt856VzjE3ngHUeObIccbSCFCpJatyaI1kNEJSDqAWdoqmJyNEyMC0T3TQIyCs36XDf\ne2j49bLt04UZ73FOz674+AshxJGgLkQTe5FUR3S0Lb2Ddu0o3YmmfvC0/aBg37xccaTUyTGnZJwn\nao4EAkFzsZrI0bmhFK8dt9PoirpRpRHVl4Jm8NBzZ/jb7xwt237iwjQnLkwxOumKo/WrjlxRs7KJ\nsOSz8nZqjhrArQ4AVUGVFUKahWZqosfRMqhmFHA8N1n2fLIw7T0+NnGS8zMXAXhx8BAvDR5a9fkA\nGkOeC5oeJRaj+yc/ysRjjxK//sa1Hk4ZVrGIqWlIOTs869Uc1W31av3eFAUCgaASq+1zZFkW3372\nNACbe+MUiutTHOlGKeL15ulx3jg1znW7u8kX9bL91qtZ3XRhhu+dfxZY2URY8okjr+aoQSJHkmqL\nvXYjiGboWIHGGNd6wE2FW03kKBaIVdw+lhv3Hh+dOM6xyeN8cOf7eX3kTQBu6b9hVel8ICJHgjoS\n7Oun/+d+kcju3Ws9lDkUzp5FmhU5CtTbra4uZxMIBILaI6+y5mgyVeptG1Wz2AAAIABJREFU8pUn\njzOZLj1fT86eplka6/cPX2RsKsdTr1zgrbMTZfutt8iRZVmMZEd5+PTj3raViBoJvJtfo6XVudku\nUd0WcIYqpsxLpRrf5eaWAU9wG04kyjANRrKjdITb+anEB+mNdmNZ8K2T3/HeN+WLLK0U8U0Lrkxm\n3YcKly8i5WYbMtT5Ar2ObvgCgUCwEJKjjvziYDn4xRHAkdMlMTE0keXYOTvVZmImz+WxzApHWXsq\nfX5FkcnlyyNH60kbmZbJS0OH+caJR0gV0972Fd0zJV9andVYhgxywI56BHP2d1UMrKMvaY0pRY5W\nN4/a0rIJgKJpL16fT11EM3W2tGyiM9zBe7beTVekk75oD12RTqA64qgx5LlAUG9m3YnMTAa5UMRU\nFSzFXjOoW97zerorCgQCwRJQHXFkrFAcTTmRokhIJVfQyeRKjlVf/f5JALrbwnzlyeMA/L8fvXY1\nw60Zsz/+NTu7GOiO8d2Xz7N9oJUzl+3i8kaOHA1mhokHYrQE45iWyWNnnuJ86tKc/TpC7cs+tv9T\nl2qOGmNqKkeiAITGZsgBWrgxxrUeWF0dWgnXsa5gFBnLTXrmDLvbdwDQGmzhY3s+AMCpqbM8ce5p\nUsXVL5aIb1ogkCSMbBYpX/RS6qB+jehEWp1AIGg2lFVGjqbS9krxh+/awbefPUMmpxEMKERCCtPO\na+l8STBZltVQAmM8N4EqBzBNe3J4YEcXB7Z30t0eRpFlNnTFiEcD/J+vvwE0jpV3Ts/xzROPoJkG\nP5X4ALKk8G0nZekndz/IN048UvF9iiQTD1auEVkYX82RkzoVaJDIUbC/DwDFuUunhR/DknF7E602\nAyfoiKunLzzHUGYEgLZQK91OlMiP+/vLaKsXRyKtTnCFUroRydEoZtaOHLkpdVD6oxQIBALB8lCc\nCPxK+xO5kaP2eIjO1jAAkZDC7Qc2ePv4U+9WGqGqBRP5Sb56/F95/Nz3MJx0aUWR6OuMojhN0Ftj\nwTJB1CDaiJcHX2WmmCan5/jn5Le44IsQ+YXR+7ff5z3+hQOf4N9c9TMrOl9ZzZHVWDVHcjhCdO8+\nLzXstDa8xiNaP5QiR6v7LrO67eboCiOAq7r2VlwIiTsGDv5Uz5XSGL9AgaDOmIVS4zAlGkMbHSGm\nRBgK2asdt264cQ1WIRvn5i4QCASrQVGctDpjede1QtFgMl1gKlUgHg2gKjJ9HREuDKdoi4XYvqHF\n23dwvNTjRDdMVKUx1nsn8lOAbUGs6/Y9RVnkftIIkaPJ/BTHJo97z/N6gSfPPVNx362tm/mpxAdR\nJIWQsoqQir/myIkcNYyVN9D+nh9D7e3jrWOPMy3VpuFoM+KJI2V1i8zXdO9nsjBFX7SX9lArm+Ib\n6QxXTt+MqhECssqUrw/SShHiSHBFEhoYQO3qovW228mfO2uLo0CUYMy+SFcK2dYKCbdZokAgEDQH\nblqdvsyIzr8+f4ZBx2BhU28cgFv22elN1+7qJqAq/MID+/jio0fLjBj0ZYqwWuJ305ss2sXh8iJe\n3WuhjY5PniSnF7i25yoA3p5IYllwTc9+3hi1m6Pv7tjB5fQQGa0kRO/bchcAneGOVY9BRvLufY3m\nVgd2LVjLddeTjZxFd6IYgsUpGk5a3Srrx/pivXxszweXtK8kSXSE2xnPTWBa5qrsvBvnFygQ1BE5\nHKHvEz8LgKSoZI/Y/vjXb7mJvTt3szG+YaG3V5m1XzEUCASCauKmjx1OjnBTomfJkfhBn+Bpj4cA\nCKgy77y6dE2OR+yIkt+koZHS6vxMFmxXvfkiQ7/wwD6yBb3mmQqWZTGaG6M70uVNGt3+RNd076dg\nFHhrPEk0EOG2/pvY1roFCYmBeD8AD5/6LhfTg9y64UZ2d+yo9uiAUs1Ro7jV+QnIKilzffbaWgtc\n58GAUl+Z0RPpZiQ7xsmp0+zp2LXi4zRGDFogWEPC27Z5j4OxljoLoxLrqXeHQCAQLIQbOSoUDS6M\nrKwGwBVHs5EkifaW8tcMY2W1TbXANE0vVWyyYKfYzRc5aokG6euI1nxMQ9kRvnHiEb579nscHn6d\nkeyo91rR1JgqTGOYBjvbtqHIChvjGzxhBHZjze5IJzvatlZ1XJIkeV0svJqjBnGr86PKKrqpi/v0\nEtGM1TeBXQnX916NKiu8NHjYG8NKEOJIIPAhh8N1P2dpwVBcdAUCQXOgKiUxMDGrZ9FS6WytLI4A\nbj/QX/Z8uel7teSZH13i7GAKgOmiLY7WsqQor+c5MXkKgHMzFzk49FqZucJYbtxrohlRIxWP0Rfr\n5aN7PkB7qK3q45tTc9SAkSPVqYMyLBE9WgraGqVItgTjXNN9FRkty5mZ8ys+jhBHAsGaI9LqBAJB\nc+Gm1QGks+UruAutvod8jqGuS10ltm9o5e7rN3rPGylyNDFtF+5blsWUI46URWqOakFay/DYme/x\nD2//C2+NJ+fd76FT3/Ueh9X5BWktkHz3P93UUSR5VbUitcKd5Lt1UYKF0R0r77Vw/d3auhmgLDq6\nXBrvFygQrAGRXbsBCPT01P3cos+RQCBoNhRf5GgyXYocPfPaJf7i20fQDZNsXueNU2Nldt9uKl0k\npNIaXXhide2ubm7db5s1NIohg2VZWJI9FgvIG3lMtDVxozs09DpnZ86XRWJcu+P5CMr1b+ZjWfb3\nr1tGQ0aNoCSONCGOlsRaRY7ANtSSJZmR7NiKjyHEkUAAdLz3fvr+zc8T6Opew1E0xs1dIBAIVos/\nUjIxU7JA/tHJMXTd5MJImsdePsfTr17izdMT3utu09hPvHfPkkwKXPvupw5d4B+fPL7mNSEFrZR2\nJTtTLEPWFnWrqwVD2RECssptG272tn1o1wNl+/RGu8vqbOudNiZJJbc6w9QbyqnOj4gcLY+1FEeq\nrNIZbmc8P+GZfCz7GFUeU0USicSPA58GdOCLyWTy87Ne7wSOA0ecTd9KJpN/utj7BIJqIakqaltl\n73yBQCAQLA9/Wt10ujinD9HoVI7hCdseeiZT9LbrhkkkrBILLy0dxxVh7jFOXJxmz+a1u5anshru\nQldEjZDOF7Gk4pqIo1QxRUe4nYgvVS4WKJk/bGvdzPucZq6vjx7hxcuvsCk+UNcx2ml1pZojtYF6\nHPlxHfR04Vi3JNy0utU2gV0p/bFexnITXMoMsqVlk7fdsqylLbrUcnAAiUQiAPwxcDOQAZ5PJBIP\nJZNJf6vhG4B/SiaTv77M9wkE6x5J1BwJBIImw59WZ1kWU6kC3e2lYv+3z06g6XY6lf8KqBsWqrz0\npBZlVuPXx146R3tLCBkYmcqxf1v9etaBK45swkoYmMKUinVPq7MsyxEbKiGlJI78E0N/xOi6ngNc\n13OgrmN08bvVRZTKhhBrjeugp5krd0C7UrAsi4yWRZKkNWvou7t9B0fGjnFm+jwtgTjfPfd98noe\n3dQZiG/gge3vWfD99ZB0+4CTyWRyEiCRSDwH3Al8zbfPjcCNiUTiB8AI8BtAzxLeJxCsf5x7lXAI\nFQgEzYLfrQ7g8YMXiEVKU47pdCla5FdHumkSDix9QhVQ5wqpVLbII8+fBWBLXwvxSH2Kwp9/c5BD\nx0YgYF/Mw0oEywJjDSJHbnqcKitz7JRv6b+ekew4ic7ddR1TJWZHjtYq0rAYbsRtpphigP5F9r6y\neWv8GBP5Kba3ba15/6756Il0o8oKlzNDtIVamcpPe6+dn7nIi4OH+Imee+Z9fz1+ha3AtO95Cpjt\nBXkMOJxMJp9KJBKfAP4P8CdLeF8ZHR1RVLUxQ7LNSk9Py1oPYd0TGwsRzKl0dceIBxculm12xO9J\nUG3Eb2rt+OUPXcPlsTRPHjzPTF5jJq8RDM2ddrS2RLzvSVEUWlrCS/7eMrpFMHTZPk4syEymSDQW\n8s7T2hahq6260Yj5xnZm+ATBkEpBUZBlif72bk5Pn6cYzNPZEa3rbzGv5QmGVFrjUXq6WwmeV72x\n39/zrrqNYzHCkQASEl3dMeQA9ngb8G92T2gLL48doqBmazK+RvzMK0E3DV478SNaYzE+dO19azqn\n2Te+k+T4aQ6Pv0YwpPJz138UVVL45yMP8fb0UX6CNRBHiUTiM8AdwDXAy76XWoCpWbt/H8g6j78F\n/Hdgxtl3ofeVMTmZXehlQZXp6WlhdDS11sNY92QzRYoFnbGxNLlA49jR1hvxexJUG/GbWluiqkRE\nkSgWyovYo+EAuza18cZJ200qnc4zOprCME0y2SItEXXJ35te0LzjX3ugn+8dvsjTB8972y4PzWAW\nq1dEv9BvKpuzr+V60MBULNRiBEOHnDXFzEyuZr/FnJ5jLDfJpvgGb6U+o2UpFnQKOQMyAXbGd7C9\ndUvD/T0U8joWFheHxigWdMyC1HBjBDB1hWJB5/L4GKOt1R1fM12nBjPDpLM5ru7eR27aJMfafa5b\nOm9hfGaGy+khAPS0jKIEuH/je/nmyYcXfG/NxFEymfzP4NUOve2YLqSxU+P+cNbuXwC+AXwVeDdw\nGDgK7F7kfQKBQCAQCBqUqM9Yoa8zypa+ODsH2jAtyxNHLhdG0liWRW/H0iM9cV+qXmvMtqEencp5\n2wrF+hTQW5ZFvmCwoTuGHmvh9QmQkJmeUNGUaUxqN47Hzz7NYGaYezbfwV4nVc7fUFWSJO7e9M6a\nnX81SNgp5XndtnsPq/VvxL4UQkoISYKCsbKGxlcClmXxo9G3ANhYZ2OPSgSVAD++48d4/vJBNFMj\npNjXh7ZQCx/Z/RMLvrfmaXXJZFJLJBK/BTyObR3+xWQyeckRPV9IJpMfBn4H+GIikfh/sM0Xfmm+\n99V6vALBWmEJK2+BQNBkREKlVPe2WJDbD9gmAJOpuZPM5Hk7OSSxDLc5RZZ57y1biIVVwsG5afUF\nzcAwTc4NpdncGyNQo9T7fNHAsiwiQYW0U2ZR1EyCRitFZZrJwgTQVf3z6nkGM7ZP1VhuHLDFkWE5\nVspSY9bwlJCwMMnptt17pEHFkSRJBOWgEEcLMJ6f4Mz0OdpCLWxt3bT4G+qALMm8a+Ntc7a3BOML\nvq8ufzXJZPJh4OFZ2yaADzuPz8Dc5L9K7xMImg3TaYA3lhtftEGfQCAQrCdCPnOFaLg05fALGcO0\n0HSTU5emaYsH6e+Mshz2be0AIJ0rOYndc8NGnn71EkXN4MjpCZ557RKyLPHT795NT3v1HdFGJu1o\nVSSkknUcJsam88iWHTmrVfPQrF6KkrkCA0r9eNQGbarqIkl2b6sfXnoRgLDPWa/RCKshCkZx8R2v\nUIqG/fe3s207srS+26iu79ELBE3A6elzADx25ntrPBKBQCCoLn63qtZo0HtcJo4Mk7HpHJpusm1D\n64odruKRAA++cxu/8MA+4hH7XOmcxuWxDGBPwo+cmVjoECvm5CXbP2rbhlaQ7CyAmUwRyZIIBxU2\n9ixP8C0VvyDK+6IaXlpdg/YNKiGR03NM5u2oYayBFwhDSkhEjhbAzX5R1rkwgjpFjgQCgUAgEFzZ\nRHxOdX4BlC3ovO7UH4VWmfa2c6DNO34goHAoOYphlIxu8oXaRHAKmi1G+jujSMNu5KgASHS1hmuW\nNp3VfPVVemni7rfybmRmy+AtDZKOVYmQEkQ3DXRTR21Qy/G1xM2CkZpAHK3/TyAQCAQCgaBhaXGM\nEuLR8n47N+3tBeDkxWmOO/VG1ZpXxSMB3nvzZk8Y7XOaweaq6Fznp+iIo1BAQXYiR/m8jiwpqKrs\nTRyrzXxpdW6Kk9Lok3ifSL6l/4aG7XMEeM10RWpdZdzf+HpPqQMhjgSCNWdb62bvsSU6wQoEgibj\nY/fs4v5bt7Cpp7wI+tb9fXOao8pVbBq5a2Mbd1yzgQ1dMd5xVR+BgEK+UBvXuKJmIkmS3fzW+wwS\nd1y9AVmSaiaOcj5xlNVzGKbBayNv8sS5pwFQGzytrjVQ+k10hBdsZbnmuOIor4vUukqYzvxFiCOB\nQLBq3rP1bvpj9gpqRhe9ugQCQXMRjwRIbOmYs11VZK7f3VO2rZriCODGRC8fu3cXLdEgQVVmdCrH\noy+e9eqQqkVBNwgFbdtsyyeE+jrsGhqTWokjO1rUH+vFtEwupi/zxthbKJJMa7DFu7c0Kns6dnmP\nQw1sxgB4VtCi7qgypchRdf+G1wIhjgSCNUaVVTbE+gBIFdNrPBqBQCCoH7fsK5+8z44kVZPOVnvy\nffLiNF97+iSXRqt3vS1qBgHVnlIZZikDQMLdVpuIlZtW595DvnPmKbJajqt7ruIT+z5Cd6T69uHV\nZHvbFu9xQA4ssOfaE1JFWt1CeDVHcyrJ1h9CHAkEDUBLsAWAmUJzdMkWCASCpRAMKPzMfbu957Vc\ndX7vzVv4qXfv5p4b7KL/oYncIu9YOkXN9GzLddOeJCqygiLb06xaGTLktByqrLClpWRkEFQC3NZ/\nY03OV21UWWV/VwJFVmgLta71cBYk7NUcichRJSwnOtr4DomL07iVbwLBFUSr05AsVRTiSCAQXFl0\ntpYaf8o1XLKNRwLEIwFMJ7KTr5I5g26YaHpJHLkmEKoiefUXRg0NGaJqhP5YLyElSMEo0hnuWLEd\n+lpw58Z3cMfArSgN7qwn0uoWxq05Wk+/vfkQkSOBoAFwuzXPaCKtTiAQXFkovlS6ekys3B5L+WJ1\nUt1mMkUsy6Itbk+edUd8qYqM7EyzamHIYFkWeT1PRI0gSzJ9Ubt+K12sbj1VrZEkqeGFEQhDhsUQ\nNUcCgaCqtDiOPevtpiYQCASrxS+I6jGxcsWR25totUym7MlyZ4s9eY6G7OP3dkS9yFEtxFHBKGBY\nJhE1AsC2tq0ADZ+etl5xxVFKS9fMfXA9UxJHjS90F0Ok1QkEDYAiK0hSbW6gAoFAsF6opSGDS8iL\nHFUnrc4VR+2OONraH+dCMcxt+/s9sVeLa7vrVBcN2OJof+ce+/wtjdtIdT0TUu3I4InJ0yiSwj2b\n7yCn5zg0/Dpd4U52t+8goDS2qUQtcevqmiFyJMSRQNAgSMgV7V6zWo5T02fY35lYF6kHAoFAsFLq\noI1QZJmAKq86rW54IsvTr11Cc2qMOuK2OJJlybEOVzzfrlqII9epLqLaNVuSJHFVV6Lq5xHYhH1W\n48cmTnDP5jt4e/w4R8aOATCRn+SOjbet1fDWnJJb3fpPShPiSCBoEOz+GHMdjQ4OvcrRieNMF2au\n6AuvQCBofupVzK2qMrqxOge5s0Mphifs3nSSJHk1R+5RJUCqYVpdVrPPHQtEq35swVxUuXzKfD51\nkYNDr3rPL2eG6z2khsIQNUcCgaDaSFS2e3W3HZ04UecRCQQCQX2pR1od2GYJulE9wdIaC5Zsu32u\nXUoN3erSQhytKY+eftJ73BftYSI/UXGB80rB/exund16RkSOBIIGQaJy5CjspEzopo5lWU1hkykQ\nCASVqNeqs6rIq6458osr14zBphQ7qqUhQ0azDXxiaqzqxxZU5vaBW7Ask3Opi1xODwHQG+0mokaw\nLCiammf5faVRMmRY/+Jo/X8CgaBJkCW5YuTItEp58XkjX88hCQQCQV2pZZ8jP6oslaXVPfTcGb7+\nzKllHUPziaN2nzjyF6avVhxpps4Ll1/hQurSnNfcmqOYY8ggqD3X9lzFdb1Xc0v/Dd62H9t2LyHH\niKFoFNdqaGtOqeZo/S/gCnEkEDQI89Ucmb5tKWH1LRAImph6Ro7cZq2WZXFmcIZLo2kKyzBpMHzi\nqj1eihb4r+OrFUevDL3Gj0aP8MjpJ9DN8kiXZmgABK7QSMVasiHWxz2b7+DDux4gHogR9BrEXsHi\niOZJq1v/n0AgaBIkJO/i4sd/U3XTKAQCgaAZqZc4UhQJ07QwTYtUTvO2D09ml3wMf1pdJDS3SkFa\nZVrdSHaMN8aOeM8HMyNlr7t1TEoTTEbXI3s7d9MX6wXwxNGVHDmyhCGDQCCoNvNHjko31bQQRwKB\noImR6mTIEFDs6Y9umBw9O+ltH5pYXByNTOV4+PkzTGdKE+GN3aW6H8tXc+QKF91cnm24buo8feE5\nLAtu7rsOgOcvv8x0Ycbbx7AMZEluipX69Y7bIPaKjhyJmiOBQFBt5jNkKBdHS1/VFAgEgvVGnbQR\nimKfSDcsjl+Y8rYPL0Ec/eC1S5y+PMPgmL1Y9W8/cIBouNT8072My5JESAkRkFVSWmpZ4zs3c5GJ\n/CR7O3dzU//1XNO9n8n8FP966jHvnmCYhogaNQghL62usMYjWTvMJnKrW/+fQCBoEiRJqmjIYPgM\nGURanUAgEKwe1YkcTWcKTMzk2drfQjwa4PTlGb7xg4WNGWay5dGBYKB8KuW/jkuSRHuojenCzLJs\nnk9PnwVgf+ceAN658VZ2d+wgo2WZzNtiTrcM0Ri8QXB7IM2uC2sWLMsiVUxjLBABdZvYC3EkEAiq\nhjxv5Ki0LS0MGQQCQRNTrzYx7nX1sZfOA7CpJ05fh90v6OLI/MYMlmWRzZdPgGe3V3DFkbu9LdSK\nbhpLSoueLqTIaFlOTZ+hI9xOb7THe21DrA+A0dw4YEeOVEl0ZGkEVEek6tby0ifXA+dmLvC1Ew/x\n5aNf4/XRI/PuJ9zqBAJB1ZkvcuRaeQeUgIgcCQSCpqZeTTRPXJgGIOVEgTb3xrn7+o3e66PTuYrv\nm04XMU2LTb3xeY/tNYF1JontoTYApnz1Qi6GaZCcOIlm6kzmp/jHY1/nK8e+jmXBQKyvTHjFA3Zd\nU063WzoYluE1nhWsLYrUvJGjlwYPMZGfAGDMEeazsSyLkewYiiR7vRnXM2LJoQ586Ut/x6FDBzEM\nHUmS+NVf/U327t234uP92q/9Cr/927/LU089TldXFx/84EfKXjdNky9/+e946aUXkGUZSZL4zd/8\nbXbu3LXajzKHJ554jFAoxF133Tvv5/yf//O/8eyzz/DQQ08QDNp5ucnkMX7xF/8v/uzP/hKAT3/6\nP7Jt23YAisUi/+E//A579uzl29/+Ops2beGmm26p+tgbDQmpoqORu6012MJUfko0ghUIBE1LnQJH\n3HPDRr5/+CIAoaBCT0cEWZK476bNPHXoAqlMEXrK35Mv6nzuobcAaIkGiUUCLOVS3B5qBWCqMMWm\n+AbeGj/GxfQg79lyFy8MvsKRsaO8Of42o9lSRAggHiwXYKFZjmiGZRCSQgjWnoATOVoo7awR8c8n\nhjIjHBp+nfu23EVYLf2uMlqW9lA7M4WZeaOfw9kRJvNT7Grf3hRNcIU4qjFnzpzm+ed/yOc+9zdI\nksSJE0k+85n/xt///T/V7Jxf+co/MD09xWc/+9fIsszRo2/xO7/z7/mnf/oGqlq9rzybzfLd7z7K\nH/3RZxf9nF1d3bz00gvceefdgC2qBgZKq3Q33ngTv/d7vw/AwYMv8YUv/CX/+3//CQ8++EF+67d+\njeuvvxFFae7camneJrD2ttZgC+O5CXJ6nqho+icQCAQr5uodXZ442tgd8+yHXUvubGHuJHd0qtSE\neypV4Offv7diCtHctDo3cjTN0xefIzlxEoDJwjTJiRP2sbNzV+TdSJFLyRHNLvrXTcNL5xKsLbLk\nptWtn8hRXi/w1ePfZm/nbna0beNbJx8F4NjkCa7rOQDYTYgLRpHeaDeGaTCSHePk1Bl2tm0rW6R9\nazwJwD6nRm69c0WJo2d/dJkTl6areszdG9t417UD874ej8cZHh7i0Uf/lVtvvZ3duxN8/vN/D9gR\noF279nDmzCkikQjXXHM9Bw++SDqd5o/+6LMoiswf/MFnSKdTjI2N8uEPf4wPfegj857L5aGHvsXf\n/M2XkJ1w+759V/GFL/w9qqry2muH+du//TymaZLL5fiv//UzBAIB/st/+R26uroYHR3h1ltv51Of\n+lV+8IPv8+Uv2+/r7u7h937vf3nHBHj44Ye5+ebbFv2cAPfd92M89dTj3Hnn3ZimyfHjx9i3b3/F\n8adSM7S3dwCgqiq7dyd48cXnuOOOuxb97OuZ+dzqDMtAkqAlaN8o01paiCOBQNBU/MQd2zl6bpKB\nrtjiO1cZf4pcJGRPcrN5bc5+Y75Uu6t3dM6f0jYnrc6OHB2bOIFu2tdzy7IjQPNlAUgS9Ds9dFzc\nXjp5o8BwZgTd1FEkIY4agYBjyFApcnR+5iLJyZPIkszdm97ZMCYaU4UpMlqWw8M/4tzMBW/7i5df\n4cXLr3D7wC1sa90MQDQQRTcNZoopnjz3DMq2dxMNRGgLtnBq+izHJ0/RHm5jY3zDWn2cqiKSVWtM\nT08vf/AHf8Qbb/yIT33q5/n4x3+SF1541nt9//6r+NM//RzFokY4HOZP/uQv2LZtO6+//ioXL17k\nvvveyx//8Z/zx3/85/zLv3xlSecsFPK0traWbWtrawfsSNanP/0/+Oxn/5q77rqHp59+CoChocv8\np//03/j85/+BV189RDJ5jCeffJyPf/yTfO5zf8Ptt99BJlMeTj148CC7du1a0ufct+8qzp07Sy6X\n4/DhV7jhhpvKjnX48CF+7dd+hU/9/+3deWBU1dn48e9smWSyD9lZkgDJAQSkiLixKaLghnVttYpb\nwQX012o37av2rVqr1VpLq8XW2lp9qxUtroBSxa0ugMp+2deQfV9mJrP8/rgzNzOESQJkz/P5h8y9\nd+aeCSd35rnnnOdZcD0PPfQLzj77XGPfyJEFfPXV2g69974s+pojPxaThQSb/gFe66lvdUyzr5ni\nhpIub6MQQnSF/Owkzjs1F3N35fIOMyS9JTgKpeRucrceASiv0UeOLj9zJKNyU6O+XkuVI/29xFhi\niA9+uQRIix0E6CNANrPtSC/BiOR8kmISI7aFpivtrN7Dq8G7/L3li/ZAZzksIUNxQwmNzXow/XHR\n5+yo3s22qp18eujLHmvj4Zq8LWnHy5sqW+3/tOgLNpZvAfRRzKSwaZ7L96zi1e1v8t6+1Xx44L8A\nnJz5rX4z5X9AjRxNPTGnzVGernDgwH7i4+O5++77ANi6dTN33XVaw554AAAgAElEQVS7ERwUFo4C\nIDExwVhzk5iYhMfjxul08vLLL7J69fs4HPF4vUcerl269CXef38VAPfd9wCJiYk0NNQTH9/SkVev\nfp9Jk04mPT2dJ554lLg4B2VlpYwbdyIAI0YUkpSkD/2PGTOWffv2sGjRD3j++edYuvRlcnPzjClx\nIVVVVaSmDurQ+wSYOnU6H320mjVrPmfevBtZsuQPxr7waXX79u1hwYIb+Pe/38Zuj2XQoDTWru09\nF5SuEp6tzu3zYDNbMZvM+AN+TCYz6XH677qssZyRKfkRz12593321R3kohGz+82dGyGE6EqzTh7K\nwfIG0pJbFpA7giNHZdUufH5/xOhQRY0Li9lEpjOuzS+Bxk2usEPyk3ONL5qZ8RmUNVXg9nki6hRN\nG3I635RtoMZdx4T0ca1eN5QuOpzUOeodrKFpdX4vNe46XtvxNgDO2FRq3LXYLTG4fR42V2icnn1y\njwa1jc1NlDdV4PK6IraPchagVW0nxZ5Coi2efXUHWV++GYC0OCcnDBqFL+DnUEMJDcGai/vriozn\nD+lH3z3kr6qL7dy5nccff4TmZn2IfujQYSQkJGIO/mG0dYH95z//wdix47n33l9y1llnR83ic+ml\nV7J48RIWL15CenoGs2dfwLPPPmMcv2HDNyxe/FtiYuz8+tcPcvfd93HPPfeTltay2nTv3t24XC58\nPh+bN28kL284r7/+GjfeOJ/Fi5cQCAT48MMPIs7rdDqpr6/r0PsEmDVrNsuXv0VFRQWDBw+J+r5D\nAVdIXV0tqanOqMf3FyaTCT8Bqt01PLvxBb4oXgeERo7MDIrTfwdV7upWz91Xd1Df52q9TwghRGtj\n8pzMmjQ04nPYZrWghqVSXtPEJxuKje3+QICKGhfpqY52M8Qdnq0OYHhyrvFzlkOfLuf2eYyRhhPT\nT2CMs5BvjzyfywsvIt0R+TkYMjnrW0wZfArO2JTgOeRrXG9gCZtWV9ZUbmyvdFUBkOlIZ5SzAH/A\nT2UPf04v3f4Gb+1+l6IGvX/nJw9j5rCpnDl0CjeNvYYrCy/m/OHncF7+2cZoZUZcOvE2B7NyZ3Ba\n9skRr2c2mbm04IJ+kaUupFtGjpRSFwL3Al7gWU3Tnjls/xPAhODDLKBa07RTlVI/AG4CyoL7Fmia\npnVHmzvL9OlnsWfPbm666Vocjjj8/gC33noHCQnR04CGnHHGNH7720dYtWolCQkJWCwWPB5Pu8+7\n6qpr+POfn2bBguuxWq1YrVYefvhxbDYb5547h1tv/T5xcbGkpg6ivFz/1errjn5CZWUlM2bMpKCg\nkJKSYn784/+HwxFPXFwcp58+JeI8p5xyCps3b2TChIkdep+5uXlUV1dxwQVzW7U5NK3OYrHQ2NjA\nokU/wG7X/9A2b95orG3qz9w+Dz6/j//b+ioAX5Vu4NTsSfgDfswmszGn2dtGNhyZfy6EEMdn5kmD\nKSpvYMPOCqaOz8ZkMlFT78Hr85OR2v56TyMhQ9i2tODIf5w1zlgz6va5afZ7SYtzcnrOZGN/nDX6\nOU7K1L8qrS/Ts+ZJKu/ewRg5CuhJC44kPW4QW9lOtbsmavDbHUIZ5w7U66M+EzPGG/W0wkcnc5OG\ncs2YK6l115IQ07IWMDRzpdpdQ7O/mXFpY0iMaf87bV/S5cGRUsoG/BY4GWgAPlFKva5pmrFAQtO0\n/xd27MfA94O7TgKu1TStTy84mTfvRubNu7HV9sWLlxg/h6aUAdxxx53Gz88//3LU591444Ijns9i\nsbBgwW1H3Ldo0Q9bbTt0qIjUVCePPvq7iO1TpkxjypRpR3wdgDlz5jB//s1cddW1QPT3ec899xs/\nP/vsP4yfw9/zm2++e8RzeL1etm3TuPXWO6K2o7+o9UTWwEgLjhT5A37MmDGbzFhM5jbrKPSHytRC\nCNGTbFYL6Smx7Cqqxd3sIzbGSkVwvVGm09Hh1wkfkbJbYriicC5x1jiavPpaFJfXjdfvPeJ0ufa4\nghnrYi395259X2Y2mTGZ9NkbB4JTzU7LOZn/FulLAqxmq/H/7OvBQrHhU+kam5tIiInHGRt9/ZzN\nbDVmrYSYTCYKUod3WRt7g+74JjUa2KFpWpWmaR704CfaN+5FwEpN0zYEH58E/Ewp9bFS6mfd0FZx\nFBISEpg9+3w++GBVl53j9ddf45prru/3abx1kVMsQ5mJfMGRI9AXfbZ1YZXgSAghjl8oMcNz72xl\n4+4KSqr0NRbpqe0HRy1T4COv6YPinDhsccTb9Neo89QRCASOKTg6YZC+Xjl8up7oOSaTCavJaqzF\nyYrPYEL6WOaPu5ZTsk/i9JzJxsyOngyOqt2RGZvPyJl8TP2vv+uO30gSEP6/UQckH36QUioGWACE\nV/v8J/AHoBZ4TSl1gaZpb0Y7UWqqA6t1IHyJ7lzp6YrXXlt6TM+99trvdnJrIi1YcEOXvn5vYouJ\n7LtWu4n09ERMtgDJsfGkpyfiiIvFajWTnh6ZxSgmWJvDmZrQal9f0pfbLnon6VPiWGRlJLLtYA0B\n4KPg2qMYu5VMp4NER/Qil16flwNbDxJjt5KelkicrfXITiCQgGOXHZepkRi7leQEx1H30/MHTWeq\neyIpca2+TokeMrPwdL4u3szkwScyJr2AGKveT7IyzwCgubyRmBIrCYn2Vv/f3XGd2lW5j7VVXxFj\nt5IRP4iRzjwm547tNxnmOlOXBUdKqQeAKcB44POwXYnAkVajnQ18qGlaTfD5JuCJsMdvAd8CogZH\nVcE7O6J7pKcnUlZW19PN6Dc8h6WOraWBktIa6hubSDanUFZWh88ToMHjavV7Dz23qrqBMvrm/4n0\nJ9HZpE+JYxXweo3rqiPWSqPLi81mISHO1maf2l2z13heRUUDdkvrekkAMX47pbX6Yn2Py3+M/dRM\nWb30794i3z6C/NwRANRUuQF3xP66Wjcet5eq6nrKYlr+37rjOuX1e/nnpjfx+r1kxqdzZuZ0EmLi\nKS9vXRpkoGgrIO2y4EjTtJ+DsY5os1LKCdSjT6n7zRGecjbwTtjjJGCjUmo0+lqls4Bnu6q9QvQW\nk7MmolVtx+NvxuPTE3CEpthZTGbcvuhJOfw9OFwvhBD9RcHgFLbtryEnzcG+knoaXV6SHLZ277KH\nJ8xp68hkexLVbn2daUyUWkeifzEb0+r83X7uhuZGvH4vI1PymZU7o9vP39d0+QIFTdOagR8CK4D/\nomerO6iUciqlXg07VAG7wp5XA9wNvA98BGzSNO3trm6vED3NbDITY46h2ddsBEKhdJpWs7XVfOVt\nVTuMn3vioiuEEP2NPcbCJdOGc+qYLELxkNXS/lemyOtz9PBoUGzLIvcxg9SxNlP0IaGaVD2x5qgp\nmIghoZ9llesq3bIKS9O0N4A3DttWCVwS9vj8IzzveeD5Lm+gEL2I2WQmxhJDs99rZDWKseh3Fi0m\nC76wO5Pbq3ayat9HxmN/lFpYQgghjk1+VhJFZQ1MGJnW7rGhLHLQ9sjRiJR89tbt59TsSUaab9G/\nhYIjfw/cxAwFR3H9qBZRV5LUVl1s3bo13HdfZKK9p576PW+//Qbbt2v89a/PRHkmvP32Gzz11O/b\nPce2bVu5667bufnmG7j99pu5554fUVZWetxtB6itrWHlyuUAPPjg/Xz22adtHl9TU80jjzwIwGWX\nXYjb3fJBsXfvHhYunA/AwoXzufrqyyKeu3r1f5gyZRKHDhVFfe+PPfZrKisrjus99XZmk4kkuz4X\nNlTc1W6xA6GRIz/+gJ9AIMBHBz8zAieQaXVCCHG0ohVYD5mo0rnxgjGMyo2e8rjOU8/Wyu3UulvW\njrQ1BS8tzskVhRczLDF6QXTRv1jM3Z+tzuf3sb+uiO3VOwFwSHDUIRIc9aCCAsX113+//QPbUF5e\nzv/+7/+waNEPefrpZ3nyyac555zz+OMfn+yUNu7YsZ1PPlnd4eOfeeYpLrnkig4fv317S03f995b\nSVZWdpvHX375lTz99OIOv35fZMKE065XP19b8g0AmcGK6sawvN+H1+/F7fOQ5chgdt5MoGfuSAkh\nRF+zv66IZTvfocZdy583Ps8XxeuiHms2mUiIa3td0CdFn/P+/o/ZVLHV2GZqc+xIDDRm4/O7+z6n\nV+37kDd3rWBn9R4AEmwyra4jBlRy80+LvmRXzZ5Ofc3hyXmcnnPyMT133bo1LFu2lF/84le8+ea/\nWbr0ZZKSkrFabcycOQuATZs28IMf3EZ1dRUXX3wZc+deEvEay5e/yQUXzCU3N8/YNn36mUybNgPQ\nR2hSU53U1tby6KNP8PDDv6So6CA+n4/vfOdqhg3L45ln/sgjjzzBe++t4Pnn/8rf/vZP1q//mnfe\neYtDhw6yY8d2li3Tl4ctW/YqL774d+rr63nwwV+SnZ1vnLehoZ4tWzZz110FHXr/Z599Lu++u4KC\nAkVdXR0ejxuns+3pBcOG5bF37x5qaqpJTk7p0Hn6GpPJTFpYUbbZeTMZmpgDEFFEzhhVstoxB+9Q\nypojIYRo34o9q2j2e3l953K8fh9rS75hctZEY3+zr1kvvG3uWHmQthLlCAF0e52jQCDA3rr9mEwQ\nGhzNis/olnP3dQMqOOopa9euMaaTARQVHeSmm242HldXV/OPf/yd5557EZvNxu23t+yzWq08/vhi\niosP8aMf3dEqODp0qIjTTtNz6LvdLu6883YASktLePnlZYAehEyffiZLl75ESkoK9977SxobG7jh\nhu/x9NN/pbj4EB6Ph88++xSTyUxlZQUff7ya6dPPJCYmhmXLljJ37iVs3LgepUZx3XU38fbbb/Dq\nq69y2213Gm3ZtGkjw4ZFFqT74Q8XGlML3G4XdnvLkO4ZZ0zlgQfu45ZbFvHBB6uYMWMmr732Sru/\nz9zcPDZs+IYpU6a3e2xfZDaZSHe0zG3PSxpq/Bz6oPb6faza9yGgZzoKZcEJSHAkhBDtCq3rrG9u\niNgeCARYtvMdDjWUkGJP4jvqkg7VgTnSWg4pyi3Cmbt5zZHL58Lr95GfnMspwcBf+mTHDKjg6PSc\nk495lOd4nHTSJH7xi18Zjw9fS3PgwH7y8/OJjdUvrmPHjjf2FRaOwmQy4XQOwuVyceDAfh5++JcA\nzJ59HhkZmRQVFQFgt8eyePESAC666FzjNUIBy549e5g0Sa+x63DEk5eXz8GDB5g8+TTWrVtDaWkJ\n55wzmzVrvuCbb75m/vzbWL/+64i26pnVwekcxJYtroh91dXVOJ3OiG2PP74Yu11fL7N37x4effQh\nY5/dHktBgWLjxvV89NEH3H//Qx0KjgYNSqOmpqbd4/oqM2ZsZitnDp2C3RIT8cEc+gBu8LbU9PL6\nvWFZcCQ4EkKI9iTY4mlojqyN2NjciC/g51BDCQDV7lqq3TWkxrY/SyGUKGfK4FMoTB2Jx+eR4poi\nQnePHNV59BpGibb4DvVh0WJABUe91ZAhQ9m7dw9utwubLYYtWzYZ0+QOv7gOGTLUCIAASkqKueuu\n2zn11NONIGjr1i00NbVc9M1m/YtzXl4e69d/xfTpZ9LY2MDOnTvJyclh2rQZLFnyRwoKFJMnn8Yj\njzzI0KFDsVqtmM1m/P6WxaptXexTU1Opqzu6QmazZs3mpZdeIDExEYfD0aHn1NXVkprqbP/APio0\nRW6Us/X0xNB84Yawu51uX7PxHFlzJIQQsKlCY1fNHs7Pn3XEu+UBWj7XrGYLXr+Pv21+ydgWb3PQ\n0NzIoYaSDn2x9Aa/8I5xKixmi1F+QYgQIyFDN605CgX/8THx3XK+/kSCo14gJSWFq6+ex623fp+k\npCTcbjdWqxWv19vuczMzs7j33gdYvPgJGhsb8Hg8xMfH86tfPdbq2IsuuoRf//oBbrnlRtxuNzfc\n8H1SU50kJ6ewf/9err76WkaOLKCkpJirr54HwODBQ9i1awcvv/xiu2054YRxHcquF27SpMk8+OD9\n3H33va32LV/+JmvWfGE8/v3v/4TD4WDbNo1bbll0VOfpS0xtDHsn2PSLXKh4IEBmfHrYcL2k8hZC\niA8P6JlVaz11pNiTW+13efVMqjkJWcwcOo3/7P+Ig/WHjP2jnYWsKfmaooZiRjsL8Qf8ba4/8vl9\nmEwybUlE1/I53T0jR6H03ZKh7uhJcNTFJk6cxMSJkyK2hX+xnzhxEl6vl/LyMv7yl+cJBALcdtv3\nycjIZMKElsWhdrudV16JKBVlKCgo5JFHfnvEfeGjTDabjZ///BetjjGbzSxbtsJ4vGzZcuPn9PQM\nXnih9VS3U089nQsvPJeyspaRIofDwejRY9i2bSuFhaNatTc3N89oT3i73nhjpfHzkiXPAZCdncN5\n513Y6ry7d+9i+PARxMf334wr5jZG5+JtcQBUuaoBsFlsTEgfS2XwsaTyFkKIFuF14UAfXW9obqTJ\n28SguFTmjpgDwEUjZrOlchsf7P8EgMLUEWyt2s6O6l0cqCvC5XPxXXUp6SQe+TwBHxaTRabSiai6\ne/p7qOZWrEWCo6Mltzh6AavVisvl4oYbrmbBguspLBzFiSd+q6ebdUxuuunmDq0bOlZLl77ETTfd\n0mWv35PykoYBkZXTD2cz6+lkQ4uIC1NG6BmVerC4nBBC9FbhWeS8fi9v7lrJP7b8i2a/t9WI0mhn\noXF3PykmkRlDpmC32GnyuggEYHOFRjRev8/IJirEkZhNZqxmCx5/12c29Af8lDWWAxBrtXf5+fob\n+UvuJRYsuI0FC27r6WYct9RUJz/5yc+77PXvuutn7R/UR52bdyZNXhfxtuhrr2KC89gbvU0A2IIf\nxmZJyCCEEK24fS2FyHdU746YOheqJxfumtFX4MePyWRiaGIOV426jG/KNrK25Bt21uyJWjDWF/Aa\nC+6FiCYxJpFadx2BQOCYRxkDgQCfFa+lpKGUC4ef22q6Z0VTJct2vmPcGIizxh13uwcaGTkSopcw\nm8xtBkbQUufIHZwvH7ooxliCI0qeevwBP1rlDmNOfcgXxevYVrWzs5sthBDHzeNrNqYLHyuv30t5\nU0VEAFPSWGZ8SSxqKAZg5rCpFKQOpyB1ZKvXcNjijLWdAHZLDJOzJjLKWUCdp54dlXuinNuHtYM1\nkcTAlRyThNvnweVztX9wFJ8Vr+Xr0g0caiihyt36b+ZQQ0nEiGmsRUaOjpaMHAnRh8QEp9WFLqyh\nEaM4axwZjjQONhTzadEXbCjfwmhnITOG6jWwmn3NrC35BtDn0gshRG+yat+H7KndxxWFcxkUd2zZ\nSD8t+oJNFRo5CVnGtq9KN/BV6QYctjgam5swmfTi7YVHCIzaMiF9LFsrt/P5ga84N0cv0n6w/hCp\n9hQctjh8AR92k2SoE21LticBUOOuPaYRnbUl3/B16QbjcXlTJWlxg4zHPr/PCJimDzmdOGsctuDN\nU9FxEhwJ0YdYzBYsJrMxfS48M9LIlOGUNpazoXwLADWelox2tZ6jS7EuhBDdaU/tPgB21+475uBo\nV81eAIrqi41tFrMFn99nBEanZZ98TGuDUmNTyE0awoHaYoqTS/D4mnlr97skxiTwvdGXy5oj0SEp\nweCo2l1LVnzmUT23oqmSL4rXATAiOY+dNXuoCWaudfs8vLFreXDkVD9+WOIQEiSN9zGRv2Qh+hir\n2YovOGQePsd9RHIenxa1pD4PD5xqg8XghBCiNwrVFaoNK1NwtNLiBrG/7iAA2fGZXDzyPHx+H2tL\nv6G8qYLTsk8+rmKYE9LHcehAMZ8UfWFMvavz1OPz+/AFvBIciXaFjxwdrbrmls/x7IRMdtbsMWoe\nHqwvoqyxgtTYFKpc1djMVhw2WWt0rGTNURdbt24NU6ZM4r33VkRsnzfvOzz44P3d1o6vv17Hjh3b\nO+31PB4PP/rRj/D7/SxcOJ+9e/cY+9xuN5ddpqfhfvDB+5k9ewYeT8v8V03bypQpk1i3bg3r1q3h\nggtmsXDhfBYunM/NN9/AqlXvBl/HxQMP3Bd1AexAFT5EbgkLgBJi4o0LL7TUOICWBA5CCNEbhZLN\nNPvbr+8XTSg4+fbI87hw+LmAPnI0OWsi5+XPOq7ACPSAa1yGorSx3BilAqhwVRIIQOoR6ikJEc4I\njjxHHxzVultmgGQ40gGob24kEAiwrmQ9AFMHn8q8MVdyacGFUnPrOMhvrhvk5uaxalVLLZ+dO3fQ\n1NS9X1bfeut1ysvLOu31Xn75RebMmYPZ3H4XGjQojc8++9R4vHLlO+TkDDYen3TSJBYvXsLixUt4\n/PHFvPDC39i+XcNuj2Xs2PEsX/5Wp7W7P4gxt8xrP/ziF76QOHRHCfSFyiESbAoheptQ5s1mf/Mx\nv0bouelxaW0WbD1WJpOJM/NPb7W9qKFEP68jrdPPKfqXeKsDq9lKlavGKMnRUWVNFcbPSTGJxFlj\nqfXU4fK5KGuqINZqJ8uRgcPmOO4bAQPdgBoDrvn4Q5o6cfQEIG5kAclTprV5zMiRBezbt5f6+noS\nEhJYseJtzjlnDiUl+rzolSvf4eWX/w+bzcbQocP48Y/vYeXKd/jkkw9xu91UVJRz+eXf5aOPVrN7\n905uu+0Opk6dwX/+8x4vvfQCZrOZ8eMncMsti/jLX/7EoUNFVFVVUVJyiEWLfkhycgqff/5ftm3b\nSl7ecObPn8frr+sjWffd9zPmzr2U4uJD7Z4vJBAIsGLF2yxceDPV1e1nXDn77HN5770VTJs2A7/f\nz7ZtWxk9eswRj3U4HMydewnvv7+KggLFWWfN4s47FzFnzgUd/B/p/+JtDipdVUDr4Cg8253L68br\n16d6hAdH/oBfUs4KIXoVE3pa4/AsW0er2deMxWTuksAoxBETR27SEIobSkmISaCiqdJID54Rl95l\n5xX9g8lkItmeSEVTFc9vfpnz8s8mPf3I34fCBQIBo5/NGHIGcdZYsuMz2VWzl+e3/AuAUc7CLu37\nA4mMHHWT6dPPYvXq/xAIBNiyZRNjx44HoKammr/85U88+eRTPPXUX0hISGDZsqUANDY28pvfPMnV\nV8/jtdde4aGHHuXHP76Ht99+g9raGp599k/87nf688rLS/nyy88AsNlieOyxJ7njjjt56aUXGTVq\nNKecchq33HI7WVlZUdvY1vnC7d+/j4SEBGy26BlQwvP3jx59Anv37qGpqYm1a79k4sRJbf6unE4n\nNTV6tpWkpCRqaqqpr5c1MyHhCywPD3IOTwXe0KyPUPoCLVXij+fOrBBCdIXQNSp8OvDRcvnc3ZKZ\n67z8WVx/wlWkB7OEFdUfwma2khor0+pE+5JjWqa/v737PQ7Vlbb7nGp3DQ3NjYxMyWf0oEIAJmVO\nwG6JwefX/3ZkWmfnGVAjR8lTprU7ytNVZs2azWOPPUxOzmBOPPFbxvaiooPk5w/H4dC/8J544kS+\n/PIzxowZS0GBAiAhIZG8vHxMJhOJiYm43R4OHNhPdXUVd911O6AHNgcPHgCgsFB/XkZGFh5PZK2b\nw4XPsGrrfOFqaqpJTW1JHWm3x0asKWpqasJuj8yrP3XqdD76aDVr1nzOvHk3smTJH6K2qbi4mPT0\nDOOx0zmI2toaEhIS2nwvA0WireX3YDlsWmP4RRf0qXXJ9kS8/vDgyEts1zZRCCGOijcYHLl8bX9m\nRVPcUHpMi9yPlclkMqYCev0+chKyZI2H6JDwtcEmE7y04XUuyb+ozdTeoVGjIQk5xrZBcU6uGXMl\nVa5qDtQXMSI5r8vaPNDIX3I3GTx4CE1NTbzyyj8555w5xvbs7MHs2bPbWIP09dfrGDp0GECb1ZOz\nsweTkZHJE0/8kcWLl3DZZVdywgnjgs9rfbzJZCIQTP/s9XppbGykubmZ3bt3RhzTEampTurrWxYG\nFhYqVq/+j/H4s88+YdSoyGHiWbNms3z5W1RUVDB48JCor93QUM8bb7zGWWedbWyrr68jJSW1Q20b\nCBLDRo4O/zBOOezOZUNzIxC55ujLkq94b99q426TEEL0tND1qNnXfNTXpkAgwPbq7i9wbTO3jFKl\nx8l6I9ExzuB6oExHOuPTTsDl81DZTgHkUHr6nITsiO02s5UMRxoTM8ZLPaNONKBGjnrazJmzWLHi\nbYYNy6WoSE83mpKSwg03LOD22xdgMpkZMmQoN9+8MCKBw5GkpqZy5ZVXs3DhfHw+H9nZOZx11qyo\nx48ZM5ann15MdvZgrrjiuyxYcB05OYPJysqO+pxohgwZSlVVJV6v/oX7e9+bxyOPPMQNN1yN3W4n\nMTGZn/zknojn5ObmUV1dxQUXzG31emvXrmHhwvlYLBZ8Ph833riAYcPyAKirqyMhIRGHw9HqeQNV\nQvjI0WHT6rIcGYxPG4Mv4GdTxVYavMHgKNASHGmVOwD9DtQoZ0E3tFgIIaIrbSyjLqzcgMvnJt7c\n8Wv+azveoqRRTzh0aUH3rU8N/zKaIckYRAeNSM7HkmtlWOJgNlVsBSJvYB5JXXM9FrOFZHtidzRx\nwDP1p8xVZWV1/efN9HLPP/9Xxo0bzYQJp3bpeV599V/Ex8dz7rnndel5+pI6Tz3/CC7AvGjEbAYn\ntA5wSxvLWLr9TcanjeGMwafw7t4P2FG9mzNyJvNJsBbSzGHTKEwd0a1tb0t6eiJlZVKsVnQe6VN9\nw1Pf/DXi8RWFcztcCNbn97Fkw9+Jtzn4VsY4xqW1v7j9eIT3qU0VGh8e0DOxXjXq0ojpUkJ0xMby\nLXxevobpWVMYmZIf9bgXty6l2d/MvDHf6cbW9W/p6YlRp0vJtDpxTK644rssX74cv9/fZedwu11s\n2PANs2bN7rJz9EWOsHnJlihz3EMpvVum1enTVJyxLdMTbVKwUAjRw/yB1p8hR7PuqMmnJ3DIjs/s\n8sDocOFTnBNjZE2sOHqh7HLtjRx5fB6jFpjoehIciWNit8fy2GOPdajO0fGc4777HujSc/RF4ak6\noy0Atlv0hBgev54oIzStLvzOpi/gx3UcmaGEEKIjfH5f1II3XHsAAAqoSURBVPpqoRs44Y4mY13o\nGhZr7f40M0kxLVOcJBmDOBZWUyipR/TgKBAI4PZ5sEtw1G3kr1mIPizaB7LZZMZkahkx8vq9mEyR\nqb4/Pvg5f930f1Q0VXZLW4UQA9OSDX/n9V3Lj7iv1tN62uPR3LRp8uqjTHE9EByFRugPL6EgREdZ\nQxkPA9GTkHj9XvwBP3azBEfdRYIjIfqwaHebTCYTVpPVqGnk8rmJMcdgNpmJteqjSk1ePUNiuQRH\nQoguEso8F8q2dbjwRAynZJ8EHN20OmPkyGJv58jOZzVbuWrUZVxR2DrRkBAdYQRHbYwchQoj263d\n38cHKgmOhOiDvj3yPMaljSbTkRH1GKvZitfvxeV1U+2qIS1YsHD6kNMjjnPIXU8hRBdpr+h0aOTo\nohGzGZY4GDi6kSNXcM1RWzViulKyPbFHpvSJ/sEWnCbfVvr6Cpd+AzM0Uim6nqzIFqIPyorPJCs+\ns81jbGYrXr+PPbX7AMhJyAJap/8WQoiu0txeiuLgyFGCLcFIMBNt5Ci0bqnaXUNqsFZMk7HmSO6q\ni76nIyNHe2v3A5CXNLRb2iQkOBKi37KarTR6m9hSuQ2TCVTqSGN7uABdl3FQCDGweXxtjxzVeeox\nmSDB5sCPHvyEJ2TYU7uPNSVfkx2fyeaKbaTFOSluKGXuiDnkJGQZo0w9seZIiOMV+jxuDrQOjkob\ny2jyuihuLMVqtkih4W7UbcGRUsoBvAvcqGna1sP2pQEvAnFAEXC9pmmNSqkLgXsBL/CspmnPdFd7\nhej7TLi8boq9pQxNHGykmm01ciTVwYTotf61bRkun5trRl/RJa+/rnQ9Dc2NTMk5BZMpatmPDvH5\nfXxdtpHRzgIcNgdev5cqd7WxPxAItDpHraeOeFs8FrMFC2A1W/AE11hsqdzGB/s/AaCssQKA4oZS\nAJbtfIfzh88yAikJjkRfZDPrhYSrXNUR24vqi1m28x3jcWZ8ekSmWtG1umXNkVJqEvAhEK3i5L3A\ni5qmTQW+AhYopWzAb4FzgOnAfKVU2/OIhBCGSleV8bMKK/ZqPewCG5DoSIheq7ypknpPQ5e8tj/g\n56vS9Wws38KhhpLjfr2vStfzRfE6Vu37EIDPi9fy7t4PjP2Hrz/y+X00ehsjUmLbLXZcwQx0ocAo\nmpV7P6DJ68JkailfIERf4rDGkZOYSXFDacRau101eyKOS7WndHPLBrbuSshgB74NbI2yfwoQyvP5\nDnA2MBrYoWlalaZpHuBjYFpXN1SI/ii82vzh0+r8UeqPCCF6VrTaQJ3xujuqd1PaWGZMe/uqbMNx\nv2558IZMQzAT5vqyzRH7PYcFR26fh0AA4iwtoz52ix23zx0xtW54ci43jv0e5w+fxTm5ZxrbLSYz\nZU3lpNhTpM6Q6JNMJhMZ8XqypCaviyZvE3WeevbW7sdqthjF2iX4716mrrr4HolS6gPg5iNMq9sB\njNM0rUkpNRz4O/BTYJGmaVcGj/lfYJ+maX/utgYLIYQQQgghBowuW3OklHoAfUQIYKamadHzFEIt\nkAg0Bf+tDtsWEtouhBBCCCGEEJ2uy4IjTdN+fhSHfwKcBzwHzAE+ArYABUopJ1CPPqXuN53cTCGE\nEEIIIYQAerAIrFLKqZR6NfjwAeA7SqlPgNOAxZqmNQM/BFYA/0XPVnewZ1orhBBCCCGE6O+6dc2R\nEEIIIYQQQvRWkt5FCCGEEEIIIZDgSAghhBBCiC6jlDq+CsuiW0lwJITodvJBITqLUipeKZXQ0+0Q\n/YNSyirXJ9GZgonFMnu6HaLjJDgSUSmlFiml7lRKTezptoi+Tyl1gVLqmZ5uh+g/lFILgX8C43u6\nLaLvU0rdDfweOL+n2yL6B6XUPGAbcHNPt0V0nARHopXgndhXgAmAC7hTKTW6h5sl+r4C4Fql1FhN\n0wJKKUtPN0j0TUqpdKXUFiADuErTtE/D9sldf3FUlFJ2pdTvACfwOGAP2yf9SRw1pdRpSqnlwKnA\nGvTMy9Kf+ggJjsSRxACNwCLgacAN1PRoi0SfpZQKv868AjwC0E5haCGi0jStDNgE7AD+Ryn1jFLq\n18F9koJVHC0vekD0FnArMEMp9VOQ/iSO2QjgV5qm3YIeGI0F6U99hQRHAgCl1AKl1ILgw0HodaUa\ngZ8AV6B/AflJ8FjpN6JNwf40P/jQpJRyABM1TbsayFRKrVRKze3BJoo+JrxPBUcdVwB3oAdIdwOT\nlVI/D+6Xa5Ro02HXqMHBf08DvkGvvThHKfU/wWOlP4l2BfvULcGHL2iatjp4rToB2Bk8RvpSHyD/\nSSJkGvAzpZRD07QdmqZ9ENy+An0h4e+Bm5VScZqm+XuqkaLPmAbcHexPPiAO2KGUugYwoU/ZfK8n\nGyj6nMP71EbgD8DfgiNJtwIXK6Xsco0SHRDen/YBdcC3gY2appWgrxG5WCkVK/1JdNA04CfBPhVQ\nSsUEr1XbgMsBpC/1DRIcDVBKqaywn08AagENeDC4LdQ3dmua1oA+mvQq+hokISK00Z8eCm5OBRYC\nU4FzgbXoo5JCHFEbfepXwc3rgL+hrxMByAPe0DTN3Y3NFH1EG/3p18HNfwIOAeODd/vzgVWapsln\nnjii9r5HAaGp4/8BqpRS2d3bQnGsTIGATH8cSJRSQ4D70RcyvwGsBKqBLOAgsB44T9O0rUqpM4CL\ngHHogfTjmqat7Il2i96pg/3pQk3TNimlxmuatj74vJFAvqZp7/ZIw0WvdZTXqJnANejTovzAw5qm\nvd8T7Ra9Uwf70wWapm1WSl0MzAQKAQfwS/nME4c7mmtU8PhJ6DcHn9Q0bV1PtFkcHRk5GniuA4rQ\n5+pnA3cBPk1XDzxHy93+z9DvgPxB07TZ8iEhjuA62u9PDwCEBUbW4NRNCYzEkVxH+30qNHq0Gn36\n06Oapp0rgZE4gutovz+F7vQv0zRtEXCvpmlT5TNPRHEdHe9TaJq2Bn0dtwRGfYSMHA0ASqnrgRno\nCwLz0e+G7QrevZ8PHNQ07Xdhxx8EbtM07d890V7Ru0l/Ep1N+pToTNKfRGeTPjWwyMhRP6eUehiY\nA/wOOBGYB4Sy0h1AXxSfG6zgHHIt+rxZISJIfxKdTfqU6EzSn0Rnkz418Ehw1P8lA0uCw7mL0bM7\nXaWUmhBcaFoKxAL1oeJkmqat0jRtS4+1WPRm0p9EZ5M+JTqT9CfR2aRPDTDWnm6A6DrBjHOvAp8H\nN10JvA5sAH6nlPo+cDZ6JjqLpmmeHmmo6BOkP4nOJn1KdCbpT6KzSZ8amGTN0QChlEpCH/q9SNO0\nYqXUPegpcDOBuzRNK+7RBoo+RfqT6GzSp0Rnkv4kOpv0qYFDRo4GjsHof9TJSqkn0Qso/lTTtOae\nbZboo6Q/ic4mfUp0JulPorNJnxogJDgaOKYBPwUmAs9rmvZCD7dH9G3Sn0Rnkz4lOpP0J9HZpE8N\nEBIcDRwe4OfAb2ROrOgE0p9EZ5M+JTqT9CfR2aRPDRASHA0cz2maJgvMRGeR/iQ6m/Qp0ZmkP4nO\nJn1qgJCEDEIIIYQQQgiB1DkSQgghhBBCCECCIyGEEEIIIYQAJDgSQgghhBBCCECCIyGEEEIIIYQA\nJDgSQgghhBBCCECCIyGEEEIIIYQAJDgSQgghhBBCCAD+P4rJXCjzyabxAAAAAElFTkSuQmCC\n",
      "text/plain": [
       "<matplotlib.figure.Figure at 0x116d34518>"
      ]
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# With just the stock returns, we can plot the rolling betas to the Fama-French factors.\n",
    "# No need to actually compute the rolling betas; pyfolio does that for us!\n",
    "fig, ax = plt.subplots(figsize=[14, 6])\n",
    "pf.plotting.plot_rolling_fama_french(stock_rets, ax=ax)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {
    "collapsed": true
   },
   "outputs": [],
   "source": [
    "# However, for the bayesian tear sheet, we will actually need the rolling betas,\n",
    "# so use pyfolio to get them\n",
    "rolling_beta = pf.timeseries.rolling_fama_french(stock_rets)\n",
    "\n",
    "# pf.timeseries.rolling_beta defaults to a 6-month trailing window.\n",
    "# Thus, the first 6 months' data will be NaNs, which we must drop\n",
    "rolling_beta.dropna(inplace=True)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [
    {
     "data": {
      "text/html": [
       "<div>\n",
       "<style>\n",
       "    .dataframe thead tr:only-child th {\n",
       "        text-align: right;\n",
       "    }\n",
       "\n",
       "    .dataframe thead th {\n",
       "        text-align: left;\n",
       "    }\n",
       "\n",
       "    .dataframe tbody tr th {\n",
       "        vertical-align: top;\n",
       "    }\n",
       "</style>\n",
       "<table border=\"1\" class=\"dataframe\">\n",
       "  <thead>\n",
       "    <tr style=\"text-align: right;\">\n",
       "      <th></th>\n",
       "      <th>SMB</th>\n",
       "      <th>HML</th>\n",
       "      <th>Mom</th>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>Date</th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "      <th></th>\n",
       "    </tr>\n",
       "  </thead>\n",
       "  <tbody>\n",
       "    <tr>\n",
       "      <th>2012-11-20 00:00:00+00:00</th>\n",
       "      <td>1.064788</td>\n",
       "      <td>1.283250</td>\n",
       "      <td>0.242012</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2012-11-21 00:00:00+00:00</th>\n",
       "      <td>1.528191</td>\n",
       "      <td>0.658291</td>\n",
       "      <td>0.078740</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2012-11-23 00:00:00+00:00</th>\n",
       "      <td>1.232070</td>\n",
       "      <td>0.767785</td>\n",
       "      <td>0.166490</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2012-11-26 00:00:00+00:00</th>\n",
       "      <td>1.366909</td>\n",
       "      <td>0.742015</td>\n",
       "      <td>0.214160</td>\n",
       "    </tr>\n",
       "    <tr>\n",
       "      <th>2012-11-27 00:00:00+00:00</th>\n",
       "      <td>1.372172</td>\n",
       "      <td>0.700392</td>\n",
       "      <td>0.159386</td>\n",
       "    </tr>\n",
       "  </tbody>\n",
       "</table>\n",
       "</div>"
      ],
      "text/plain": [
       "                                SMB       HML    Mom   \n",
       "Date                                                   \n",
       "2012-11-20 00:00:00+00:00  1.064788  1.283250  0.242012\n",
       "2012-11-21 00:00:00+00:00  1.528191  0.658291  0.078740\n",
       "2012-11-23 00:00:00+00:00  1.232070  0.767785  0.166490\n",
       "2012-11-26 00:00:00+00:00  1.366909  0.742015  0.214160\n",
       "2012-11-27 00:00:00+00:00  1.372172  0.700392  0.159386"
      ]
     },
     "execution_count": 7,
     "metadata": {},
     "output_type": "execute_result"
    }
   ],
   "source": [
    "rolling_beta.head()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {
    "scrolled": false
   },
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Running T model\n",
      "Optimization terminated successfully.\n",
      "         Current function value: -3113.664255\n",
      "         Iterations: 3\n",
      "         Function evaluations: 117\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "100%|██████████| 2500/2500 [02:53<00:00, 14.39it/s]\n",
      "100%|██████████| 2000/2000 [00:01<00:00, 1328.55it/s]\n"
     ]
    },
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "\n",
      "Finished T model (required 238.11 seconds).\n",
      "\n",
      "Running BEST model\n"
     ]
    },
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      " 64%|██████▍   | 1598/2500 [02:30<01:51,  8.09it/s]"
     ]
    }
   ],
   "source": [
    "# Suppose the last 2 months were our out-of-sample period\n",
    "out_of_sample = stock_rets.index[-60]\n",
    "\n",
    "# Use pyfolio to run the bayesian tear sheet.\n",
    "# The bayesian tear sheet's back end makes heavy use of pymc3, so there will be\n",
    "# a lot of graphical output before the actual tear sheet\n",
    "pf.tears.create_bayesian_tear_sheet(stock_rets, live_start_date=out_of_sample, benchmark_rets=rolling_beta)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
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    "collapsed": true
   },
   "outputs": [],
   "source": []
  }
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